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Electrochemical Reduction of Metal Oxides in
Molten Salts for Nuclear Reprocessing
Thesis submitted to University College London
by
Rema Abdulaziz
In fulfilment of the requirements for the degree of
Doctor of Philosophy
2016
ii
Declaration
I, Rema Abdulaziz, confirm that the work presented in this thesis is my own.
Where information has been derived from other sources, I confirm that this has
been indicated in the thesis.
Rema Abdulaziz
iii
To Professor Douglas Inman,
Abstract iv
Abstract
This thesis examines the electrochemical reduction of metal oxides in molten salts
for nuclear reprocessing applications. This is of particular importance for the
development of Gen IV nuclear power plants, where if pyroprocessing was to be
implemented, electro-reduction and refining of spent nuclear fuel are two main
steps in reprocessing. The objective of this research is to characterise and
understand the direct electrochemical reduction of UO2 to U metal in a LiCl-KCl
molten salt eutectic, as part of the nuclear pyroprocessing scheme, following a
similar approach to the FFC Cambridge Process for the reduction of TiO2 to Ti
metal. The voltammetric behaviour of reduction processes of metal oxides were
evaluated using electroanalytical techniques such as cyclic voltammetry and
chronoamperometry on different precursor types, such as thermally grown thin
oxide films, metallic cavity electrodes, and ‘a fluidised cathode’, a novel system
that was developed within this work. Material was characterised before and after
the electroanalytical experiments using scanning electron microscopy, X-ray
energy dispersive spectroscopy and X-ray diffraction.
Predominance phase diagrams, using recent thermodynamic data, for metal-molten
salt systems, relating the potential to the negative logarithm of the activity of O2-
ions (E-pO2-
), were produced for the range of spent nuclear materials (U, Pu, Np,
Am, Cm, Cs, Nd, Sm, Eu, Gd, Mo, Tc, Ru, Rh, Ag and Cd species), in both LiCl-
KCl at 500 °C and NaCl-KCl at 750 °C. The two salt eutectics were chosen as they
are the two main systems for pyroprocessing in the UK and US; temperatures were
selected within each salt’s normal operating range. All of the diagrams show
regions of stability for the different metal species, their oxides and chlorides at unit
activity; however, this activity can be altered in accordance with the equations
derived. Examples of selective electrochemical reduction are also demonstrated for
potential spent fuel reprocessing in both salt systems. In addition, the effects of
Abstract v
altering the operating temperature on the regions of stability within the diagrams
are also investigated.
The bulk of this research was on investigating the electrochemical reduction of
WO3 to W metal. Tungsten was selected as a chemical surrogate for uranium, due
to their similar physical and chemical properties, to investigate specific
electrochemical reduction and process parameters. Nonetheless, tungsten is an
important and desirable refractory metal because of its physical and chemical
properties, and the electrochemical route for producing it of high purity might
prove viable. The electrochemical reduction of WO3 to W metal has been assessed,
alongside a predominance diagram that was developed for the Li-K-W-O-Cl
system, and it likely to occur as following the reaction mechanisms: WO3 → WO2
→ W. A full reduction using the fluidised cathode process, with complete
conversion of the product to W was achieved, via applying a constant potential of -
2.14 V, with a high Faradaic efficiency. The reduction process is split into two
sections; the first where rapid reduction of WO3 occurs, the second where a slower
reduction of the remaining oxides in the product takes place. The deposited
material on the current collector is in the form of homogeneously distributed
particles.
Parameters, such as the metal oxide-salt ratio and the fluidisation rate, were
investigated, and depending on the desired means of recovery of the product, i.e. a
continuous flow retrieval or batch via removal of electrodes, these conditions can
be altered to suit. Particle coulometric analysis was also carried out, and an
electrochemical deposition model was also developed to estimate the porosity of
the deposit and the rate of its growth over time.
Finally, the electrochemical reduction of UO2 to U metal using the fluidised
cathode process was investigated. Voltammetry studies were conducted, and
alongside a predominance diagram that was constructed, the reaction path-way was
studied, and it is likely to take place following two different reaction mechanisms;
UO2 → U, via a 4-electron transfer step reaction; and UO2 → UO → U, via two 2-
electron step reactions. The route the reduction process follows depends on pO2-
Abstract vi
and potential, which is highly influenced by the type of metal oxide precursor used,
metallic cavity packed electrode or a fluidised cathode.
The main reduction potential using the fluidised cathode appeared to be -2.2 V. A
Faradaic current efficiency for the process was established, and found to be ~ 92%.
However this is a very rough estimate. The reduction process is split into three
sections; the first where a seeding process takes place at a low potential to allow
for the reduced uranium particles to be deposited onto the tungsten current
collector; the second where rapid reduction of UO2 particles takes place with a
growth in electrode size accompanied by an increase in current being passed; the
third where a slower reduction of the remaining oxides in the product occurs. As is
the case with the electrochemical reduction of tungsten oxide, the reduced product
can be collected from two areas; the deposit on the current collector’s surface and
the bottom of the reactor crucible.
The fluidised cathode is a robust, three-phase, high efficiency process. It was
studied here for the electrochemical reduction of WO3 and UO2, however, it is
likely applicable for other spent fuel oxides (such as UO3 and PuO2), and in the
production of refractory metals, such as titanium. Another proposed advantage of
using the fluidised cathode process is that it would eliminate certain steps in the
preparation of the precursor and recovery of the reduced metal in the FFC
Cambridge process with associated cost reductions.
Acknowledgements
During the many days and nights when this research was all consuming, several
persons provided indispensable support. People to whom I am particularly indebted
include:
Professor Douglas Inman, to whom this thesis is dedicated, for his insight,
advice and energy. He was an excellent mentor and friend, and I will always be
grateful to have known him.
My supervisor, Professor Dan Brett, for his unparalleled enthusiasm, guidance
and confidence in me. I thoroughly enjoyed our regular meetings and
discussions, and have learnt a lot from him.
My second supervisor, Dr. Paul Shearing, for his support and for giving me the
opportunities to gain experience working at Diamond Light Source and ISIS
Neutron Source.
The Department of Chemical Engineering, especially Professor Eva Sorensen,
Professor Eric Fraga, Dr. Simon Barrass and Professor Bill Maskell.
John Cowley and Michael Williams for their brilliant glassblowing skills, and
Martin Vickers for his help with XRD (UCL Department of Chemistry).
My friends and colleagues from the second floor, especially Shade, Matt,
Vassilis, Chara and Noor.
My friends and colleagues from the Electrochemical Innovation Lab,
especially Toby, Jay, Amal, Quentin, Ishanka, Ana and Rhod.
The EPSRC funded REFINE consortium, especially Dr. Clint Sharrad for
providing UO2 powder.
My parents, Ahmed and Naima, and siblings, Rabea, Aisha and Mariam, for
their unconditional love and support through the years.
My friends for being the best support system one could ask for, especially
Eoin, Holly, Rosalind, Fatma, Frances, Teodora, Malvika, Azza, Tom, John,
George, Clair, Chiaki, Roxy, Damir, Haydar, Tomek, Grace and Jessica.
Table of contents
Abstract .................................................................................................................... iv
Acknowledgements ................................................................................................. vii
Table of contents .................................................................................................... viii
List of Figures ......................................................................................................... xii
List of Tables ......................................................................................................... xix
Nomenclature .......................................................................................................... xx
1. Introduction ............................................................................................... 1
2. Background Review .................................................................................. 3
2.1 Nuclear fuel cycle ..................................................................................... 3
2.2 Nuclear reactors ........................................................................................ 4
2.3 Nuclear reprocessing ................................................................................. 6
2.3.1 Aqueous reprocessing ....................................................................... 7
2.3.2 Pyroprocessing .................................................................................. 9
2.4 Molten salts ............................................................................................. 11
2.4.1 Molten salt electrolysis ................................................................... 11
2.4.2 Advantages of using molten salts as electrolytes ............................ 12
2.4.3 Disadvantages of using molten salts as electrolytes ....................... 13
2.4.4 Operating temperatures of molten salts........................................... 13
2.4.5 Conductance of molten salts ........................................................... 15
2.4.6 Density of molten salts .................................................................... 15
2.5 Electrochemical reduction of metal oxides in molten salts ..................... 16
2.5.1 The Fray Farthing Chen (FFC) Cambridge process ........................ 16
Table of contents ix
2.5.2 The three-phase interline (3PI) ....................................................... 23
2.5.3 Challenges for electrochemical reduction in molten salts ............... 24
2.6 ‘Fluidised bed’ electrochemical processes .............................................. 26
2.7 Spent nuclear materials in molten salts ................................................... 29
2.8 Summary ................................................................................................. 33
3. Experimental ........................................................................................... 35
3.1 Electrochemical techniques ..................................................................... 35
3.1.1 Linear sweep and cyclic voltammetry............................................. 35
3.1.2 Chronoamperommetry .................................................................... 38
3.2 Material characterisation techniques ....................................................... 39
3.2.1 X-ray diffraction ............................................................................. 39
3.2.2 Scanning electron microscopy and energy dispersive X-ray
spectroscopy ................................................................................................... 40
3.2.3 Particle size analysis ....................................................................... 40
3.3 Experimental design ................................................................................ 41
3.3.1 Heating and temperature control ..................................................... 42
3.3.2 Electrochemical cell ........................................................................ 46
3.3.3 Electrodes ........................................................................................ 50
3.3.4 Electrolyte and cell atmosphere handling ....................................... 53
3.3.5 Electrochemical set-up .................................................................... 56
3.4 Summary ................................................................................................. 57
4. Predominance Diagrams ......................................................................... 58
4.1 Introduction ............................................................................................. 58
4.2 Theory ..................................................................................................... 61
4.3 Results ..................................................................................................... 68
4.4 Discussion ............................................................................................... 74
Table of contents x
4.4.1 Comparison of eutectics .................................................................. 74
4.4.2 Selective electro-reduction .............................................................. 74
4.4.3 Effect of temperature ...................................................................... 77
4.5 Conclusions ............................................................................................. 77
5. The Electrochemical Reduction of Tungsten Oxide ............................... 79
5.1 Introduction ............................................................................................. 79
5.2 Experimental ........................................................................................... 80
5.2.1 Apparatus ........................................................................................ 80
5.2.2 Chemicals ........................................................................................ 80
5.2.3 Procedure ........................................................................................ 82
5.3 Results and discussion ............................................................................ 82
5.3.1 Current efficiency ........................................................................... 93
5.3.2 Effects of metal oxide – salt ratio ................................................... 95
5.3.3 Effects of fluidisation rate ............................................................... 97
5.3.4 Particle coulometric analysis ........................................................ 100
5.3.5 Electrochemical deposition model ................................................ 103
5.4 Conclusions ........................................................................................... 106
6. The Electrochemical Reduction of Uranium Oxide .............................. 108
6.1 Introduction ........................................................................................... 108
6.2 Experimental ......................................................................................... 110
6.2.1 Apparatus ...................................................................................... 110
6.2.2 Chemicals ...................................................................................... 110
6.2.3 Procedure ...................................................................................... 111
6.3 Results and discussion .......................................................................... 112
6.3.1 Current efficiency ......................................................................... 119
6.4 Conclusions ........................................................................................... 122
Table of contents xi
7. Conclusions and Future Work ............................................................... 123
7.1 Conclusions ........................................................................................... 123
7.1.1 Predominance Diagrams ............................................................... 123
7.1.2 The electrochemical reduction of tungsten oxide ......................... 124
7.1.3 The electrochemical reduction of uranium oxide .......................... 125
7.2 Future work ........................................................................................... 126
7.2.1 Three dimensional microstructural analyses ................................. 126
7.2.2 Single particle reduction analyses ................................................. 126
7.2.3 ABBIS process .............................................................................. 127
7.2.4 Micro-electrode studies ................................................................. 129
7.2.5 TRISO fuel pyroprocessing .......................................................... 129
7.2.6 Electrochemical reduction of UO3, PuO2 and mixed oxide fuels .. 130
7.2.7 Electrochemical reduction of ThO2 ............................................... 130
7.2.8 Electrochemical reduction of TiO2 ................................................ 131
Dissemination ....................................................................................................... 133
Appendices ............................................................................................................ 136
Appendix A – calculations for immersion heater ................................................. 136
Appendix B – Electrode potential and pO2-
equations for predominance diagrams
of spent nuclear materials ..................................................................................... 138
Appendix C - Electrode potential and pO2-
equations for the Li-K-W-O-Cl system’s
predominance diagram .......................................................................................... 145
Appendix D - Electrode potential and pO2-
equations for the Li-K-Ti-O-Cl system’s
predominance diagram .......................................................................................... 146
References ............................................................................................................. 148
List of Figures xii
List of Figures
Figure 1.1 - World electricity generation by source of energy [5]. ........................... 2
Figure 2.1 - The nuclear fuel cycle. .......................................................................... 4
Figure 2.2 - Heat release from spent nuclear fuel [9]. .............................................. 5
Figure 2.3 - Solvent extraction for used nuclear fuel (UNF). ................................... 8
Figure 2.4 - Closed fuel cycles based on pyroprocessing developed at ANL (right
branch) and RIAR (left branch) [25]. ...................................................................... 10
Figure 2.5 - Liquid state domains (non-shaded zones) of salt mixtures [35]. ......... 14
Figure 2.6 - Specific conductance of pure molten salts vs. temperature [37]. ........ 15
Figure 2.7 - Density of molten salt eutectic mixtures vs. temperature [38]. ........... 16
Figure 2.8 - Calcium reduction of TiO2. (a) Calcium reduction. (b) Calcium
reduction in molten CaCl2. ...................................................................................... 18
Figure 2.9 - Cyclic voltammograms of titanium foils in molten CaCl2, scan rate: 10
mV s-1
, at 800 ˚C. (a) Oxide-scale-coated titanium foil. (b) As received titanium
foil [39]. .................................................................................................................. 19
Figure 2.10 - Electrolytic cells for the reduction of TiO2 pellets via the FFC
Cambridge Process [39]. ......................................................................................... 19
Figure 2.11 - Cyclic voltammograms of TiO2 and inert electrode in CaCl2, scan
rate: 50 mV s-1
, at 900 ˚C [49]. ............................................................................... 21
Figure 2.12 - Stages of the FFC Cambridge process [60]. ...................................... 22
Figure 2.13 - Schematic representation of a three-phase interline (3PI) connecting a
solid metal phase, a solid compound phase (metal oxide), and a liquid electrolyte
phase (molten salt). The grey planes are the interlines between two neighbouring
phases. At the 3PI, electron transfer occurs between the metal and the metal oxide
and oxygen anion transfer between the metal oxide and the molten salt. ............... 23
Figure 2.14 - Schematic of the 3PI propagation mechanism of a cylindrical metal
oxide pellet. (a) Propagating from the current collector along the surface. (b)
Propagating within the pellet [61]. .......................................................................... 25
List of Figures xiii
Figure 2.15 - Fluidised bed electrolysis reactor according to Fleischmann and
Goodridge [95]. ....................................................................................................... 27
Figure 2.16 - Schematic of a fluidised cathode process in a molten salt showing
various reaction mechanisms between particles in the melt and the electrode. ...... 28
Figure 2.17 – Schematic of the electrorefining process developed by the ANL,
operated at 500 °C, where AM = alkali metals, AEM = alkaline earth metals, MA =
Np, Am and Cm, NM = noble metals, RE = rare earth metals, FP = fission product
[104]. ....................................................................................................................... 30
Figure 3.1 - (a) Potential vs. time waveform for linear sweep voltammetry (LSV).
(b) Potential vs. time waveform for cyclic voltammetry (CV). (c) Current vs. time
response corresponding to LSV. (d) Current vs. potential response corresponding to
CV. .......................................................................................................................... 36
Figure 3.2 - Oxidised species (O) concentration vs. distance at different times, 1-5,
during a linear sweep voltammetry. ........................................................................ 37
Figure 3.3 - Current vs. time response for chronoamperommetry. ......................... 38
Figure 3.4 - X-ray diffraction schematic of a crystal. ............................................. 40
Figure 3.5 - Perspex dry glove-box containing molten salt electrochemical cell. .. 42
Figure 3.6 - Schematic of the rig set-up, showing components inside and outside
the dry glove-box. ................................................................................................... 43
Figure 3.7 - Phase diagram for NaNO3-KNO3 eutectic [120]. ................................ 44
Figure 3.8 - Dimensions of silica tubing for immersion heater. ............................. 44
Figure 3.9 - Schematic for heating apparatus. ........................................................ 45
Figure 3.10 - Immersion heater rig. ........................................................................ 46
Figure 3.11 - Dimensions of cell envelope. ............................................................ 47
Figure 3.12 - Electrochemical cell schematic. ........................................................ 48
Figure 3.13 - Electrolytic cells. (a) For a typical cell set-up for the electrochemical
reduction of thin films or metal cavity electrodes (MCEs), (b) for the
electrochemical reduction of metal oxide powder using the fluidised cathode
method. ................................................................................................................... 49
Figure 3.14 - Ceramic cell heads hole arrangements. (a) For a typical cell set-up.
(b) For a fluidised cathode set-up. Where, 1 is the argon inlet, 2 is the argon outlet,
List of Figures xiv
3 is for the reference electrode, 4 is for the working electrode or current collector
(also used for the sacrificial electrode in pre-electrolysis), 5 is for the
thermocouple, 6a for the anode, and 6b for the anode compartment containing the
anode. ...................................................................................................................... 50
Figure 3.15 - Cross section of the Ag/Ag+ reference electrode............................... 51
Figure 3.16 – (a) Working electrode for fluidised cathode set-up. (b) Metallic
cavity working electrode (MCE)............................................................................. 53
Figure 3.17 - Cyclic voltammogram showing the potential window of LiCl-KCl
eutectic at 450 °C, scan rate 50 mV s-1
, and reference electrode: Ag/Ag+. ............. 55
Figure 3.18 - Chronoamperogram showing a typical pre-electrolysis of LiCl-KCl
eutectic at 450 °C, set voltage: -2.300 V, and reference electrode: Ag/Ag+. .......... 55
Figure 3.19 - X-ray diffraction spectrum (Mo Kα) of treated LiCl-KCl salt,
showing KCl (165593-ICSD [130]), and LiCl (26909-ICSD [131]). ..................... 56
Figure 4.1 - Example of the three main regions of stability in a predominance
diagram (based on a LiCl-KCl salt eutectic) and showing the nature of reactions
leading to horizontal, vertical and diagonal lines.................................................... 63
Figure 4.2 - Predominance diagram for the Li-K-O-Cl system at 500 °C,
illustrating the relationship between oxygen pressure, oxide activity and potential,
E, relative to the standard chlorine electrode. ......................................................... 65
Figure 4.3 - Predominance diagrams of (a) U, (c) Pu, (e) Np, and (g) Am in LiCl-
KCl at 500 °C. (b) U, (d) Pu, (f) Np, and Am are in NaCl-KCl at 750 °C. ............ 70
Figure 4.4 - Predominance diagrams of (a) Cm, (c) Cs, (e) Nd, and (g) Sm in LiCl-
KCl at 500 °C. (b) Cm, (d) Cs, (f) Nd, and Sm are in NaCl-KCl at 750 °C. .......... 71
Figure 4.5 - Predominance diagrams of (a) Eu, (c) Gd, (e) Mo, and (g) Tc in LiCl-
KCl at 500 °C. (b) Eu, (d) Gd, (f) Mo, and Tc are in NaCl-KCl at 750 °C. ........... 72
Figure 4.6 - Predominance diagrams of (a) Ru, (c) Rh, (e) Ag, and (g) Cd in LiCl-
KCl at 500 °C. (b) Ru, (d) Rh, (f) Ag, and Cd are in NaCl-KCl at 750 °C. ........... 73
Figure 4.7 - Predominance diagrams of U and Pu species. (a) in LiCl-KCl at 500
°C, (b) in NaCl-KCl at 750 °C. ............................................................................... 76
Figure 4.8 - Predominance diagrams of Am and Cm species. (a) in LiCl-KCl at 500
°C, (b) in NaCl-KCl at 750 °C. ............................................................................... 76
List of Figures xv
Figure 4.9 - Predominance diagram for the Li-K-U-O-Cl system at 500 °C. ......... 78
Figure 4.10 - Predominance diagram for the Li-K-U-O-Cl system at 800 °C. ....... 78
Figure 5.1 - Average particle size distribution of WO3 powder in terms of volume
percentage, also showing the maximum size distribution and the minimum, with a
standard deviation of 2. Mean particle diameter: 30.92 μm, median particle
diameter: 29.54 μm. ................................................................................................ 81
Figure 5.2 - X-ray diffraction spectrum (Mo Kα) of as-received WO3 powder
sample, showing WO3 (1620-ICSD [173]). ............................................................ 82
Figure 5.3 - Predominance diagram for the Li-K-W-O-Cl system at 500 °C. ........ 84
Figure 5.4 - (a) Cyclic voltammogram of WO3 thin film cathode in LiCl-KCl
eutectic at 450 °C, scan rate: 50 mV s-1
, reference electrode: Ag/Ag+. (b) Cyclic
voltammogram of WO3 fluidised cathode in LiCl-KCl eutectic at 450 °C, scan rate
50 mV s-1
, reference electrode: Ag/Ag+. ................................................................. 86
Figure 5.5 - Cyclic voltammogram of WO3 fluidised cathode in LiCl-KCl eutectic
at 450 ˚C, scan rate: 50 mV s-1
, and reference electrode: Ag/Ag+. ......................... 87
Figure 5.6 - Chronoamperogram of WO3 fluidised cathode in LiCl-KCl eutectic at
450 °C, 40 g WO3, argon flow rate: 800 cm3 min
-1, set voltage: -2.14 V, reference
electrode Ag/Ag+. 1 - 4: diagrammatic representation showing the evolution of the
cathode's surface area over time. ............................................................................ 88
Figure 5.7 - (a) Photographs of current collector before the reduction process, 1,
and after, 2, (b) photograph of the solidified melt showing separate layers of WO3
and W. ..................................................................................................................... 89
Figure 5.8 - (a) EDS spectrum of the deposit on the current collector's surface. (b)
Photograph of the working electrode after the chronoamperometry showing the
deposited W. (c) SEM image of the cross-section of the solid W working electrode,
2, and the deposit grown, 1. .................................................................................... 90
Figure 5.9 – SEM image of the as-received WO3 particles, and (b) product W
obtained from the solidified melt as a separate layer to the LiCl-KCl. EDS spectra
(penetration depth ~6 μm) showed the stoichiometric composition of WO3 in (a),
and the absence of oxygen in (b). ........................................................................... 91
List of Figures xvi
Figure 5.10 - SEM image of the cross-section of the current collector showing the
deposited tungsten. .................................................................................................. 92
Figure 5.11 - SEM images of the current collector and deposit, at different
magnitudes, showing the homogeneity of reduced particles. ................................. 92
Figure 5.12 - Chronoamperogram of WO3 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, 4 g WO3, argon flow rate: 800 cm3 min
-1, reference electrode: Ag/Ag
+, set
voltage: -2.135 V. ................................................................................................... 94
Figure 5.13 – X-ray diffraction spectrum (Mo Kα) of sample of product after
complete reduction, showing W (52344-ICSD [176]), and KCl (165593-ICSD
[130]). ..................................................................................................................... 95
Figure 5.14 - Chronoamperograms of WO3 fluidised cathode in LiCl-KCl eutectic
at 450 ˚C, argon flow rate: 800 cm3 min
-1, reference electrode: Ag/Ag
+, set voltage:
-2.14 V, for different weight percentages of WO3 in the melt, as indicated. .......... 96
Figure 5.15 - Count of charge per spike relative to a normalised line of best fit, at
different WO3 – LiCl-KCl eutectic ratios. Where, (a) is at 0.312 wt% WO3, (b)
20.00 wt%, and (c) 27.27 wt%. ............................................................................... 97
Figure 5.16 - Chronoamperogram of WO3 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, 40 g WO3, reference electrode: Ag/Ag+, set voltage: -2.14 V, showing the
effect of different argon flow rates bubbled through the melt. ............................... 99
Figure 5.17 - Count of charge per spike relative to normalised line of best fit, at
different argon flow rates. Where, (a) is at 200 cm3 min
-1, (b) 400 cm
3 min
-1, (c)
600 cm3 min
-1, (d) 800 cm
3 min
-1, (e) 1000 cm
3 min
-1, (f) 1200 cm
3 min
-1, (g) 1400
cm3 min
-1, (h) 1600 cm
3 min
-1, and (i) 1800 cm
3 min
-1. .......................................... 99
Figure 5.18 - (a) Chronoamperogram of WO3 fluidised cathode in LiCl-KCl
eutectic at 450 ˚C, 40 g WO3, reference electrode: Ag/Ag+, set voltage: -2.14 V, (b)
zoom-in of a section containing 200 spikes used for coulometric analysis. ......... 101
Figure 5.19 - (a) Relative frequency of spike durations in Figure 5.18 (b) from
coulometric analysis. (b) Count of charge per spike from coulometric analysis. . 101
Figure 5.20 - (a) Count of radii sizes of WO3 reactant particles from particle
coulommetry analysis. (b) SEM image of a large WO3 particle. .......................... 102
Figure 5.21 – Schematic showing parameters of the current collector and the
deposit used in the electrochemical deposition model. ......................................... 103
List of Figures xvii
Figure 5.22 - Chronoamperogram of WO3 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, 40 g WO3, argon flow rate: 800 cm3 min
-1, reference electrode: Ag/Ag
+, set
voltage: -2.14 V. ................................................................................................... 105
Figure 5.23 – Deposit growth on current collector over time, predicted via
electrochemical deposition model. ........................................................................ 105
Figure 6.1 – Conceptual flowsheet for the treatment of used LWR fuel [181]. .... 109
Figure 6.2 - X-ray diffraction spectrum (Mo Kα) of as-received UO2 powder
sample, showing UO2 (35204-ICSD [182]). ......................................................... 111
Figure 6.3 - Cyclic voltammogram of UO2 in molybdenum metallic cavity
electrode in LiCl-KCl eutectic at 450 ˚C, scan rate: 20 mV s-1
, reference electrode:
Ag/Ag+. ................................................................................................................. 114
Figure 6.4 - Cyclic voltammograms of UO2 in molybdenum metallic cavity
electrode, at different scan rates, in LiCl-KCl eutectic at 450 ˚C, reference
electrode: Ag/Ag+ (A newly packed MCE was used for each scan). .................... 114
Figure 6.5 – Cyclic voltammetry of UO2 fluidised cathode in LiCl-KCl eutectic at
450 °C, 5 g UO2, argon flow rate: 600 cm3 min
-1, reference electrode: Ag/Ag
+. .. 115
Figure 6.6 - Predominance diagram for the Li-K-U-O-Cl system at 500 °C,
showing the reaction pathway for the reduction of UO2 to U in LiCl-KCl using a
fluidised cathode process and a metallic cavity electrode (MCE). ....................... 116
Figure 6.7 - Chronoamperogram of UO2 fluidised cathode in LiCl-KCl eutectic at
450 °C, 5 g UO2, argon flow rate: 600 cm3 min
-1, set voltage: -2.2 V, reference
electrode Ag/Ag+. .................................................................................................. 118
Figure 6.8 – (a) Photograph of reduced uranium deposited on tungsten working
electrode, (b) photograph of the cross-section of the uranium product at the bottom
of the crucible, (c) photograph of the solidified product, showing two separate
layers of salt and uranium metal. .......................................................................... 118
Figure 6.9 – SEM images of (a) the as-received UO2 particles, and (b) product U
obtained from the solidified melt as a separate layer to the LiCl-KCl. ................. 119
Figure 6.10 - Chronoamperogram of UO2 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, 4 g UO2, argon flow rate: 600 cm3 min
-1, reference electrode: Ag/Ag
+, set
voltage: -2.2 V. ..................................................................................................... 121
List of Figures xviii
Figure 6.11 - X-ray diffraction spectrum (Mo Kα) of sample of product after
complete reduction, showing peaks for α-U (43419-ICSD [187]), and KCl
(165593-ICSD [130]). ........................................................................................... 121
Figure 7.1 – Experimental set-up for single particle reduction studies. ................ 127
Figure 7.2 – Schematic for ABBIS process (with LiCl-KCl eutectic as an example).
.............................................................................................................................. 128
Figure 7.3 – Illustrative cutaway drawing of a TRISO fuel particle [198]. .......... 129
Figure 7.4 - Predominance diagram for the Li-K-Ti-O-Cl system at 500 °C. ...... 132
Figure 7.5 - Cyclic voltammogram of TiO2 thin film cathode in LiCl-KCl eutectic
at 450 °C, scan rate: 50 mV s-1
, reference electrode: Ag/Ag+. .............................. 132
List of Tables xix
List of Tables
Table 2.1 - World operational nuclear reactors [8]. .................................................. 5
Table 2.2 - World commercial reprocessing capacity [12]. ...................................... 7
Table 2.3 - Melting temperatures of salt mixtures and pure salt constituents [31,
35]. .......................................................................................................................... 14
Table 2.4 – Redox potentials of relevant elements in LiCl-KCl eutectic salt at
indicated operating temperatures (V vs. Ag/Ag+ reference electrode) [104-107]... 31
Table 2.5 – Generation IV reactor designs under development [108]. ................... 32
Table 3.1 – Guideline for voltage required to achieve different temperatures of 3 kg
of NaNO3-KNO3 thermostatic salt bath after 1.5 h. ................................................ 45
Table 4.1 - List of nuclides commonly considered in burn-up credit criticality
analyses (from NEA 2011) [145] and used as the basis for the systems examined
here. ......................................................................................................................... 60
Table 4.2 - Gibbs energy of formation for nuclear materials at 500 °C and 750 °C.
................................................................................................................................ 66
Table 5.1 - Gibbs energy of formation at 500 °C for species in the Li-K-W-O-Cl
system. .................................................................................................................... 83
Table 5.2 - Thermodynamically calculated values of pO2-
and potentials required
for Equations 5.1, 5.2, 5.6 and 5.7 to take place. .................................................... 84
Table 6.1 - Thermodynamically calculated values of pO2-
and potentials required
for Equations 6.1 and 6.2 to take place. ................................................................ 113
Table 7.1 - Voltage, power and heat needed to reach specified temperatures of the
thermostatic salt bath. ........................................................................................... 137
Nomenclature xx
Nomenclature
List of abbreviations
3PI Three phase interline
AEM Alkaline earth metal
AGR Advanced gas-cooled reactor
AM Alkali metal
ANL Argonne National Laboratory
BWR Boiling water reactor
CV Cyclic voltammetry
EDS X-ray energy dispersive spectroscopy
EXAm Extraction of americium
FBR Fast breeder reactor
FFC Fray Farthing Chen
FIB Focused ion beam
FP Fission products
GCR Gas-cooled, graphite-moderated reactor
GFR Gas-cooled fast reactor
GHG Greenhouse gases
HLW High level waste
IFR Integral fast reactor
LEP Liquid electrolyte phase
LFR Lead-cooled fast reactor
LILW Low and intermediate level waste
LSV Linear sweep voltammetry
LWGR Light-water-cooled, graphite-moderated reactor
LWR Light water reactor
M Metal
MA Minor actinide
MCE Metallic cavity electrode
MOX Metal oxide
MSR Molten salt reactor
MTHM Metric tonne of heavy metal
NEA Nuclear Energy Agency
NM Noble metal
O Oxidised species
OS Ono Suzuki
Nomenclature xxi
PHWR Pressurised heavy-water-cooled and moderated reactor
PUREX Plutonium-uranium extraction
PWR Pressurised water reactor
R Reduced species
RE Rare earth metal
RIAR Research Institute of Atomic Reactors
SANEX Selective actinide extraction
S.Cl.E Standard chlorine electrode
SCP Solid compound phase
SCWR Supercritical-water-cooled reactor
SEM Scanning electron microscopy
SFR Sodium-cooled fast reactor
SMP Solid metal phase
TBP Tri-butyl phosphate
TRISO Tristructural-isotropic fuel
TRU Transuranic material
TRUEX Transuranic extraction
UNF Used nuclear fuel
UOX Uranium oxide
VHTR Very-high-temperature reactor
XRD X-ray diffraction
List of Symbols
ΔG0 Gibbs energy of formation J mol
-1
ΔT Change in temperature K
θ Angle Rad
λ Wavelength m
ρ Density kg m-3
a Thermodynamic activity -
C Concentration mol m-3
CO Concentration of O mol m-3
Cbulk Concentration of bulk mol m-3
c Specific heat capacity J kg-1
K-1
DO Diffusion coefficient of O m2 s
-1
d Interplanar spacing m
E Potential kg m2 s
-3 A
-1 (V)
E0
Standard electrode potential kg m2 s
-3 A
-1 (V)
Ed Defined potential kg m2 s
-3 A
-1 (V)
EO/R Reduction potential for redox couple O and R kg m2 s
-3 A
-1 (V)
e Electronic charge (1.602 × 10-19
C) A s (C)
Nomenclature xxii
F Faraday constant (96485 C mol-1
) A s mol-1
(C mol-1
)
I Current A
i Current A
ID Inner diameter m
k Specific conductance A2 s
3 kg
-1 m
-3 (S m
-1)
L Length m
L Latent heat J kg-1
M Molar mass kg mol-1
m Mass kg
N Number of reduced oxide units -
NA Avogadro constant (6.022 × 1023
mol-1
) mol-1
N(t) Molar accumulation at t mol
n Number of moles mol
OD Outer diameter m
P Partial pressure kg m-1
s-2
(Pa)
P Power J s-1
pO2-
-log10[O2-
] -
Q Charge A s (C)
Q Heat J
q Flux mol m-2
s-1
R Universal gas constant (8.314 J K-1
mol-1
) J K-1
mol-1
R Resistance kg m2 s
-3 A
-2 (Ω)
r Radius m
r0 Radius at t = 0 m
r(t) Radius at t m
T Temperature K
Tf Final temperature K
Ts Start temperature K
t Time s
ts Start time s
td Defined time s
V Voltage kg m2 s
-3 A
-1 (V)
V(t) Volume at t m3
x Distance m
z Number of e transferred per reduced formula -
unit of oxide
1. Introduction 1
1. Introduction
The world’s energy consumption increases with the growth of economies, and
demand is expected to increase by a factor of 1.5-3 by 2050. Furthermore,
standards of living are directly related to the availability of electricity, for which
the demand is expected to be twice as large by 2050 as well [1]. The majority of
global electricity is derived from the burning of fossil fuels, which produces
greenhouse gases (GHG) that are large contributors to global climate change.
Though the use of renewable energy resources continues to develop, it is still not
satisfactory for fulfilling energy demands [2]. Figure 1.1 shows the breakdown of
the world electricity generation by source of energy, in 1971 and 2010. Nuclear
energy for electricity generation offers large-scale low-carbon energy production,
but suffers with challenges such as the handling of radioactive waste materials.
For low and intermediate level waste (LILW) disposal facilities already exist in
twenty three countries around the world. As for high level waste (HLW) no such
facilities exist. However, there are storage facilities in operation. The disposal of
HLW is the only step in the civilian nuclear fission cycle with no large scale
facilities in operation yet [3].
The reprocessing of spent nuclear fuel is important as it can reduce the amount of
waste to be disposed of, and lessens the indirect environmental footprint. Most of
the GHG emissions associated with nuclear power come from construction (40%),
mining activities (32%) and enrichment (12%); whereas, conversion, disposal and
reprocessing are only responsible for 5, 2 and 7% respectively [4]. Therefore, by
reducing or forfeiting the mining and the enrichment steps, via reprocessing, the
GHG emissions would be significantly reduced.
While the reprocessing of some of the spent fuel materials increases the efficiency
of the fuel-cycle, the reprocessing of other materials, such as the minor actinides, is
only important for the public acceptance of civilian nuclear power. Also, the more
1. Introduction 2
materials are reprocessed, the less space will be needed for underground storage in
the future.
Figure 1.1 - World electricity generation by source of energy [5].
High temperature molten salt reprocessing technology (pyroprocessing) offers a
range of advantages when compared to aqueous reprocessing techniques. This is
due to the fact that the technology is inherently ‘safe’ as it is resistant to
proliferation and does not provide an environment for criticality accidents to occur;
it also utilises compact easily accessible facilities.
The aim of this research is to develop the understanding of spent nuclear materials
behaviour in molten salts, via thermodynamic and electrochemical techniques, and
to investigate electrochemical reduction processes from oxides to metals, which
can prove to be significant in future generation IV nuclear power plants. New
reactor designs are investigated as well, to improve the efficiency of such
processes.
This thesis consists of a literature review where a concise background of nuclear
pyroprocessing, molten salts, electrochemical reduction, and spent nuclear
materials in molten salts is given. This is followed by an experimental Chapter
where a background of the electrochemical techniques and characterisation
techniques is included, in addition to specific experimental designs used later in
this work. A theoretical Chapter where predominance diagrams, summarising the
thermodynamic and electrochemical behaviour of spent nuclear materials in molten
salts, were produced is also included. Then, two experimental Chapters were the
electrochemical reduction of WO3 and UO2 were investigated. Finally, this is all
summarised in the conclusion, where also suggestions for future work were
provided.
2. Background Review 3
2. Background Review
This Chapter aims to present a critical review of the relevant literature and has been
split into sections that cover: a background review on nuclear energy and
reprocessing technologies, molten salts and their applications, electrochemical
reduction processes for metals production in molten salts, fluidised bed electrode
technologies, and the electrochemistry of spent nuclear materials in molten salts
found in the literature.
2.1 Nuclear fuel cycle
The closed nuclear fuel cycle is outlined in Figure 2.1 and comprises of the
following main steps:
1. Mining and milling of the ore (the creation of the ‘yellow cake’).
2. Purifying the ore and enriching of the fissile U235
content, if needed,
then manufacturing the fuel.
3. Utilising the fuel in various reactor types, normally as fuel pellets in
fuel rods. This is different for different reactors.
4. Reprocessing of the spent fuel at the end of its life time, where
separating and recycling of uranium and plutonium occurs.
5. Safe and secure disposal of the remaining radioactive waste.
To close the back-end of the nuclear fuel cycle, uranium and plutonium are
reprocessed, then recycled back into fuel for reactors. These reprocessing steps are
highlighted in red in Figure 2.1. This is called the ‘twice through cycle’. Ignoring
reprocessing and the direct disposal of HLW into repositories is called the ‘once
through cycle’. Nonetheless, most legacy waste produced from nuclear power
plants is in long term storage. This is not a permanent solution, but serves the quest
of buying time to deal with nuclear waste materials some decades in the future [6].
Thus, for a sustainable nuclear power future, reprocessing of spent fuel material is
vital.
2. Background Review 4
Figure 2.1 - The nuclear fuel cycle.
2.2 Nuclear reactors
Nuclear reactors are either thermal or fast reactors. They are classified by their
purpose, by the type of moderator used to slow down neutrons, by the type of fuel
or type of coolant used in them. The main purpose for using nuclear reactors is
power generation; however, they are also used for research, testing and for the
production of materials such as radioisotopes [7]. The principle types of nuclear
reactors and their total net electrical capacities are summarised in Table 2.1.
2. Background Review 5
Table 2.1 - World operational nuclear reactors in 2015 [8].
Reactor
type
Description
Number
of
reactors
Total net
electrical
capacity (MW)
BWR Boiling light-water-cooled and moderated reactor 78 74686
FBR Fast breeder reactor 2 580
GCR Gas-cooled, graphite-moderated reactor 15 8175
LWGR Light-water-cooled, graphite-moderated reactor 15 10219
PHWR Pressurised heavy-water-cooled and moderated reactor 49 24549
PWR Pressurised light-water-cooled and moderated reactor 278 259777
Total 437 377986
The first generation of reactors that was used in the United Kingdom was the gas-
cooled Magnox reactor. The following generation was the GCRs. The first PWR
came much later, at Sizewell B. The majority of nuclear reactors in operation
worldwide are light water reactors, especially PWRs.
Due to the phenomenon of nuclear decay, spent reactor fuel continues to give off
heat even after the reactor has been shut down and the fission reactions have
stopped. The graph in Figure 2.2, below, shows the heat given off by spent fuel
from different reactors after shut down. Naturally, the heat release is highest when
the spent fuel is first removed from the reactor and as time passes, it reduces
significantly.
Figure 2.2 - Heat release from spent nuclear fuel [9].
2. Background Review 6
In order to reduce the decay heat, spent nuclear fuel is stored in cooling water
ponds for a relatively short time when first removed from the reactor. Carbon
dioxide ponds have also been employed; however, they are not always suitable; for
example, they cannot be used for spent fuel from Magnox reactors, as the
magnesium moderator would form magnesium hydroxide [6]. PWRs’ spent fuel
can be stored for a very long time in cooling water ponds, which adds to the
advantages of using them in power plants. Cooling ponds are maintained cool by
using commercial heat exchangers and are easy to operate. However, there is a risk
of reaching ‘criticality’; this is when the pond itself starts acting as a nuclear
reactor, when PWR, BWR and GCR spent fuel is being stored. For reactors that
use natural uranium fuel, such as Magnox and PHWR, there is no criticality
problem [9].
After the cooling off period is over, the fuel is transported from the ponds in safety
flasks to reprocessing and discharge facilities.
2.3 Nuclear reprocessing
Reprocessing of irradiated nuclear fuel first started in the USA, in the 1940s;
precipitation followed solvent extraction was used then. This was to separate
weapons-grade plutonium from spent fuel materials. For the Manhattan Project, the
plutonium-uranium extraction (PUREX) process was employed. In the PUREX
process, uranium and plutonium are extracted, leaving fission products in the HLW
disposal stream [10]. Two decades later, the UK and France adopted and modified
the PUREX process, developing second generation reprocessing plants. Similarly,
at different scales, improvements to the PUREX process took place in Belgium,
Germany, Japan, Russia, China and India. In the 1980s, the UK and France
developed the process further and established third generation civil reprocessing
plants, where discharge of radioactive waste into the environment was reduced
significantly. These facilities produced a mixture of non-weapons-grade uranium
and plutonium called mixed oxide (MOX) fuel [11]. In the UK, however, these
facilities have been closed recently. Table 2.2 shows the nuclear civil reprocessing
plants around the world, and their capacities in 2014.
2. Background Review 7
Table 2.2 - World commercial reprocessing capacity in 2014 [12].
Location (and design) Reactor, fuel type Capacity (t/year)
UK, Sellafield (THORP) Thermal, oxide 600
UK, Sellafield (Magnox) Thermal, metal 1500
France, La Hague (UP2-800, UP3) Thermal, oxide 1700
Japan, Rokhashamura Thermal, oxide 800
Japan, Tokai Mura Thermal, oxide 40
Russia, Ozersk (Mayak) Thermal, oxide 400
India (PHWR, 4 plants) Thermal, metal 330
In the following sections, the two main nuclear reprocessing techniques, aqueous
reprocessing and pyroprocessing are described.
2.3.1 Aqueous reprocessing
In aqueous reprocessing solvent extraction technologies are used. In most spent
fuel reprocessing plants, the fuel is dissolved in nitric acid to aid the process.
Equations 2.1-4 are the main dissolution reactions that take place between spent
uranium species and nitric acid [11]. In the PUREX process, a solvent consisting of
tri-butyl phosphate (TBP) dissolved in hydrocarbon diluent is contacted with a
solution of dissolved nuclear fuel in nitric acid to extract uranium and plutonium,
leaving fission products for disposal [10]. The separation process consists of four
main steps; extraction, scrubbing, stripping and washing. This is demonstrated in
Figure 2.3.
3𝑈𝑂2 + 8𝐻𝑁𝑂3 → 3𝑈𝑂2(𝑁𝑂3)2 +𝑁𝑂 + 4𝐻2𝑂 2.1
𝑈𝑂2 + 4𝐻𝑁𝑂3 → 𝑈𝑂2(𝑁𝑂3)2 + 2𝑁𝑂2 + 2𝐻2𝑂 2.2
𝑈3𝑂8 + 7.5𝐻𝑁𝑂3 → 3𝑈𝑂2(𝑁𝑂3)2 +𝑁𝑂2 + 0.35𝑁𝑂 + 3.65𝐻2𝑂 2.3
𝑈𝑂3 + 2𝐻𝑁𝑂3 → 𝑈𝑂2(𝑁𝑂3)2 +𝐻2𝑂 2.4
Mixer-settlers are used for the extraction. They consist of two compartments and
use equilibrium contactors, where the step concentration profile is the aqueous
phase and the solvent is passed from one stage to another. This technology is
implemented in Sellafield, La Hague and Rukhshamura [11].
2. Background Review 8
Figure 2.3 - Solvent extraction for used nuclear fuel (UNF).
The species in spent fuel that contribute the most to long-term radiotoxicity are the
minor actinides, mainly Am, Cm, Np and Pu. Plutonium is recovered in the
PUREX process, and neptunium can also be recovered in advanced PUREX
processes. Other solvent extraction processes have been developed to extract the
other minor actinides from the lanthanides, such as the transuranic extraction
(TRUEX) for the removal of americium and curium, and the selective actinide
extraction (SANEX) processes [13].
Solvent extraction for nuclear aqueous reprocessing suffers from a few drawbacks,
primarily in terms of nuclear proliferation, as it provides a route for the separation
of weapons-grade plutonium as a single species. Another concern, is that it
employs solvents that contain hydrogen and carbon, which are neutron moderators,
creating a criticality accident risk.
2. Background Review 9
2.3.2 Pyroprocessing
Pyrochemical processing or pyroprocessing is a non-aqueous high temperature
electrochemical method for the refinement and separation of irradiated spent
nuclear fuel. It employs molten salts as solvents [14]. It is generally a desired
scheme as it exploits more compact facilities than in solvent extraction, which is
economically favourable for decontamination, it also requires a shorter cooling
period for irradiated fuel, and it is a criticality accident risk-free process. Different
process systems and salts have been studied in pyroprocessing, most of which are
summarised in a Nuclear Energy Agency (NEA) report [15].
There are currently two main molten salt technology processes in existence, both
using chloride salts as electrolytes; one in the USA at the Argonne National
Laboratory (ANL) using LiCl-KCl eutectic, for metallic fuel for the Integral Fast
Reactor (IFR), and one in Russia at the Research Institute for Atomic Reactors
(RIAR) using NaCl-KCl eutectic, for oxide fuel for the Fast Breeder Reactor
(FBR) [16]. Both processes are outlined in Figure 2.4. Another major difference
between the ANL and the RIAR pyroprocessing systems is the removal of
cladding. At RIAR cladding is removed before the pyrochemical refining stage, as
is the practice in solvent extraction. This creates a radioactive waste stream. At
ANL, it has been proposed that the zirconia fuel cladding is removed in-situ in the
reprocessing stage via chlorination [17]. Equation 2.5 shows this dissolution
reaction [18]. On a smaller scale, advances have been made in molten salt nuclear
pyroprocesses in Europe and Japan as well [19-24].
𝑍𝑟𝑂2 + 2𝐶𝑙2 → 𝑍𝑟𝐶𝑙4 + 𝑂2 2.5
Pyroprocessing is a desirable technology due to its inherent safety features, its
ability to recover most fission products, and also because it is proliferation
resistant, as it does not conventionally allow for the separation of weapons-grade
plutonium as a single species, dissimilarly to the aqueous solvent extraction
reprocessing schemes. Pyroprocessing remains in the R&D and pilot plant scales.
Its facilities also require to be sealed from the atmosphere, and thus maintenance is
very important. It also employs much higher temperatures than solvent extraction.
2. Background Review 10
However, there is a clear motivation for implementing Generation IV nuclear
reactors, which require metal as start-up fuel and follow a fully integrated and safe
reactor and reprocessing design arrangements, hence, advances in the technology
are made.
Figure 2.4 - Closed fuel cycles based on pyroprocessing developed at ANL (right
branch) and RIAR (left branch) (Note: dismounting should read disassembling in the
top box of the diagram) [25].
2. Background Review 11
2.4 Molten salts
Molten salts are used extensively in the chemical industry. Their established
applications are in the production of pure metals, such as aluminium, magnesium
and sodium. They also have other important applications that are not fully
exploited, which include molten salts fuel cells and batteries, catalysis, in the glass
industry, and in solar power and energy storage [26].
In this section, a review of the characteristics and applications of molten salts as
electrolytes is given.
2.4.1 Molten salt electrolysis
Molten salt electrolysis can be used for the electro-winning, refining and plating of
refractory metals (Ti, V, Cr, Zr, Nb, Mo, Hf, Ta, W). The conversion of metals
from their ores to their finished refractory stage is both energy and capital
intensive. The electrochemical process scheme is a natural solution for these
demands, as it significantly reduces operating costs through increasing the
efficiency of the recovery of metals [27].
For most refractory metals electro-hydrometal-lurgical routes are not feasible for
production, due to one or more of the following reasons [28]:
1. Most of these metals can only be electrodeposited at potentials more
negative than those required for hydrogen evolution, as thermodynamic
data shows.
2. The metals rapidly become protected by oxide films in oxidising
environments. This can be a problem in fused salt systems too.
3. Metallic ions often get transformed to stable oxy-cations in aqueous
solutions. Metallic ions with low oxidation states reduce water (e.g. Ti2+
),
and those with high oxidation states oxidise water (e.g. Ti5+
).
As a result of these factors, the use of molten salts as solvents for electrolytic
processes in metals production has emerged. The industrial applications of molten
salts have been well acknowledged for more than a century. The commercial
production of Al, Mg, Na, K, Li and Be make use of molten salt electrolysis
processes [29]. However, the major processing routes for most refractory metals
2. Background Review 12
are thermal, although most of them have also been extracted, refined or formed via
molten salt electrolysis in laboratory or pilot plant scale [28].
2.4.2 Advantages of using molten salts as electrolytes
Molten salts are non-aqueous electrolytes. One of their best features is their large
electrochemical window, which allows for a large variety of electrochemical
processes to be carried out, as alkaline earth halides in salts have very negative
Gibbs energies of formation, hence molten salts have a high decomposition
potential, nonetheless this potential can be reduced by lowering the activity of the
metal [28]. There is also a large number of different salts, salt mixtures and salt
eutectics to choose from, with a wide temperature range (e.g. LiCl-KCl molten at
352 ˚C and operational at much higher temperatures). This allows for the various
electrochemical reactions and their rates to be controlled via temperature. Hence,
molten salts are defined into two categories; high temperature salts (above 700 ˚C)
and low temperature salts (below 700 ˚C) [30]. In addition, molten salts have a
good ionic conductivity range (2-9 (Ω cm)-1
) [31].
When comparing molten salts to aqueous solutions, molten salts have the capacity
to dissolve materials to a very high concentration. This high solubility results in a
high limiting current density, and hence high productivity [32]. Chemical reactions
between the metal ions and the solvent are generally absent in molten salt
processes. However, due to the variety of metal oxidation states, interactions
between the metal ions and the solvent must be carefully monitored.
In a reaction vessel, when a cold metal electrode is immersed into the molten salt
solvent, a thin film of solid salt forms on the metal surface, acting as a temporary
insulator, this reduces any thermal shock from taking place. This thin film and the
high heat and wetting properties of salts cause the so called ‘preheating effect’,
where rapid heat transfer through conduction takes place. Similarly, when the
metal electrodes are removed from the vessel a thin liquid film forms on the
surface. This helps in the protection and the cooling down of the final product.
Also, when the reaction vessel is sealed from the environment, oxide formation and
scaling effects of the materials are eliminated. This lessens maintenance problems
[33].
2. Background Review 13
Molten salt processes are also relatively low in initial costs. The reactor vessels
normally have easy accessibility, regardless of how complex the system may be,
and the final retrieved product is typically of high purity [29].
The intensive research on the subject over the past century has determined the
various physical, chemical and thermodynamic properties of molten salt systems to
a high standard. Nevertheless, until recently, not many innovative processes of
using molten salt electrolysis for metal production have been developed [34].
2.4.3 Disadvantages of using molten salts as electrolytes
Despite the many advantages of using molten salts as electrolytes, there are a
number of disadvantages. One of which is that the metal deposits produced by
molten salt electrolysis are usually dendritic and/or powdery mixed with salt,
which leads to a recovery process that is usually energy intensive and requires a
consolidation process, which involves leaching, grinding and floatation procedures.
Large scale molten salt processes can also prove to be difficult, as peripheral
handling facilities are normally employed. Also, the insolubility of the high
valence metal halides (mainly chlorides) can form cluster-type compounds within
the electrolytic melt, which can complicate the process [28]. Another issue is the
formation of CO2/CO at the ‘inert’ anode, which is ordinarily a form of carbon.
This could back-react with the metal deposited.
Due to the corrosive nature of molten salts when exposed to the environment
(oxygen), reactor vessels and electrode materials can become damaged if not
handled appropriately [29]. Serious health hazards can also arise from molten salt
processes. This is due to their high operating temperatures and chemical reactions,
which can yield toxic fumes. However, these hazards can be eliminated by proper
design and planning, taking risk precautions, and the periodic cleaning and
replenishment of salts and equipment [33].
2.4.4 Operating temperatures of molten salts
Frequently, mixtures of molten salts are used instead of a single salt. These
mixtures are binary, ternary and sometimes even quaternary. They usually have
much lower melting temperatures than pure salt constituents. This allows for
2. Background Review 14
manipulations of the system’s chemistry and temperature, to achieve desired
operating designs. Table 2.3 shows the melting points of a few selected salts and
salt mixtures.
Table 2.3 - Melting temperatures of salt mixtures and pure salt constituents [31, 35].
Constituents
Amounts (mol%)
Melting
point (˚C)
Usual
temperature
used at (˚C)
Pure
constituents
Melting
point (˚C)
LiCl-KCl 59-41 (eutectic) 352 450-500 CaCl 772
NaCl-KCl 50-50 658 725-750 LiCl 610
MgCl2-NaCl-KCl 50-30-20 396 475 NaCl 801
AlCl3-NaF 50-50 154 175 MgCl2 714
BF3-NaF 50-50 408 KCl 770
AlF3-NaF 25-75 1009 1080 AlCl3 192*
NaF 995
AlF3 1272*
*Under pressure
Some molten salt mixtures form eutectics, which have a unique minimum melting
point, at a distinctive molar composition of the salt components. LiCl-KCl is such a
eutectic; its phase diagram is depicted in Figure 2.5. Eutectics are common in
chemistry, when two or more species, with their own bulk lattice arrangements,
strike a unique composition forming a superlattice, that can release all its
components at once into a liquid mixture at a much lower distinct temperature [36].
Figure 2.5 - Liquid state domains (non-shaded zones) of salt mixtures [35].
2. Background Review 15
2.4.5 Conductance of molten salts
Molten salts have high ionic conductance, especially chlorides, which makes them
ideal mediums for electrolytic processes. Figure 2.6 shows the specific ionic
conductance of some pure molten salts at different temperatures. The high
conductance of lithium chloride is particularly notable. When using salt mixtures,
their specific conductance can be calculated using Equation 2.6, where a, b and c
are parameters tabulated by Van Artsdaled and Yaffe [37] for different molar
compositions of various salt mixtures and temperature ranges.
𝑘 = 𝑎 + 𝑏𝑇 + 𝑐𝑇2 2.6
Where, k is the specific conductance in mho cm-1
;
T is the temperature in ˚C.
Figure 2.6 - Specific conductance of pure molten salts vs. temperature [37].
2.4.6 Density of molten salts
Molten salts possess relatively low densities, which contribute to them having good
diffusion and dissolution properties. The densities of some molten salt eutectic
2. Background Review 16
mixtures at different temperatures are presented in Figure 2.7. The relatively low
density of LiCl-KCl eutectic is noteworthy, as it inhances transport phenomena in
the fused salt. The density of pure salts and various salt mixtures can be calculated
using Equation 2.7, where a and b are constants also published by Van Artsdaled
and Yaffe [37] for different molar compositions of various salt mixtures and
temperature ranges.
𝜌 = 𝑎 − 𝑏𝑇 2.7
Where, is the density in g cm-3
;
T is the temperature in ˚C.
Figure 2.7 - Density of molten salt eutectic mixtures vs. temperature [38].
2.5 Electrochemical reduction of metal oxides in molten salts
2.5.1 The Fray Farthing Chen (FFC) Cambridge process
The FFC Cambridge process [39] is a novel approach for producing titanium metal
from titanium oxide using molten salt electrolysis. Titanium has many advantages
over other metals, in terms of weight, density, corrosion, maintenance and lifetime
costs. However, its usage remains restricted due to its high production costs, and
hence raw material cost [40]. The conventional method for producing metal
2. Background Review 17
titanium is via the Kroll process [41]. In this process, TiCl4 is reduced with pure
magnesium in a molybdenum-lined crucible, in the presence of pure argon, at a
temperature of 1000 ˚C. It is then separated from magnesium salts by leaching and
acid treatment. The titanium metal in powder form is then compressed into bars
and melted in special vacuum apparatus. The Kroll method for producing titanium
metal is an expensive and complex procedure; Kroll himself predicted that his
process would be replaced by an electrochemical process.
Since the 1950s and for forty years, research was underway in search of a new and
cheaper method for titanium metal production, until the FFC Cambridge process
was discovered in the late 1990s. The FFC Cambridge process is a novel
electrolytic method for reducing metal oxide to metal in a molten salt medium. It
was patented globally in 1998 [42, 43].
For the direct reduction of titanium oxide to metallic titanium, a qualified reducing
agent, R, needs to be selected to remove the oxygen according to Equation 2.8.
𝑇𝑖𝑂𝑥 + 𝑥𝑅 ↔ 𝑇𝑖 + 𝑥𝑅𝑂 2.8
The thermodynamic affinity of oxygen to R should be higher than to titanium.
Reducing agents such as aluminium and carbon pollute and decrease the quality of
the titanium metal produced. Only calcium and rare earth metals can reduce the
remaining oxygen in the metal to less than 1000 mass ppm [44]. The reduction of
titanium oxide chemically using calcium was proposed long before the FFC
Cambridge process, however it was not considered due to the fact that calcium
forms a CaO film on the titanium surface, which physically hinders the successive
reduction by calcium. This is illustrated in Figure 2.8(a). The use of molten CaCl2
salt as the electrolytic medium in the FFC process eliminates this problem, as
CaCl2 can dissolve amounts as large as 20 mol% of CaO and a few mol% of
calcium. Hence, the CaO film would be removed as illustrated in Figure 2.8(b)
[45]. This is the basis of the Ono-Suzuki (OS) process [46].
2. Background Review 18
Figure 2.8 - Calcium reduction of TiO2. (a) Calcium reduction. (b) Calcium reduction
in molten CaCl2.
There are two proposed mechanisms for the electrochemical reduction of titanium
oxide in molten CaCl2. These are as follows:
1. Deposition of calcium at a more cathodic potential followed by a chemical
reaction:
𝐶𝑎2+ + 2𝑒− ↔ 𝐶𝑎 2.9
𝑇𝑖𝑂𝑥 + 𝑥𝐶𝑎 ↔ 𝑇𝑖 + 𝑥𝐶𝑎𝑂 2.10
2. Electrochemical reduction of Ti to release its oxide:
𝑇𝑖𝑂𝑥 + 2𝑥𝑒− ↔ 𝑇𝑖 + 𝑥𝑂2− 2.11
In the first mechanism, the OS process, as presented in Equations 2.9 and 2.10,
calcium is deposited on the titanium oxide cathode; it reacts with the titanium
oxide on the surface forming CaO, which is soluble in CaCl2. In the second
mechanism, the FFC Cambridge process, as presented in Equation 2.11, direct
reduction of titanium oxide is achieved electrochemically. Hence, the chemical
reaction with calcium does not take place [39].
In the original FFC experiment, an electrochemical cell was constructed using
titanium foil as the cathode and graphite as the anode, both were immersed in
molten calcium chloride at 800 ˚C. Cyclic voltammograms were conducted, as
illustrated in Figure 2.9. As can be seen, in the ‘as received’ titanium foil, Figure
2. Background Review 19
2.9(b), cathodic peaks 1 and 2 and their anodic counterpart 7 are absent. These
peaks are predominant in the cyclic voltammogram of the oxidised titanium foil,
Figure 2.9(a). Peaks 1 and 2 appear at a less negative potential than that of calcium
deposition, peaks 4 and 4’ in (a) and (b) respectively. Thus, they are indicative of a
direct electrochemical reduction of TiO2. Peak 7 appears at a less positive potential
than that of Cl2 evolution, peaks 8 and 8’, indicative of a reoxidation process. The
electrochemical cell set-up, Figure 2.10, was later improved using TiO2 pellets as
the cathode and the temperature was raised to 950 ˚C to enhance kinetics.
Figure 2.9 - Cyclic voltammograms of titanium foils in molten CaCl2, scan rate: 10
mV s-1
, at 800 ˚C. (a) Oxide-scale-coated titanium foil. (b) As received titanium foil
[39].
Figure 2.10 - Electrolytic cells for the reduction of TiO2 pellets via the FFC
Cambridge Process [39].
2. Background Review 20
Schwandt and Fray [47] conducted an investigation to determine the kinetics of the
electrochemical reduction of TiO2 to Ti metal in molten CaCl2. Partially reduced
pellet samples were extracted by terminating the reduction process after specified
reaction times. These samples were analysed using X-ray diffraction (XRD),
scanning electron microscopy (SEM) and energy-dispersive X-ray spectroscopy
(EDS). The experiment was split into three phases where chronoamperommety was
performed. In the first phase, a potential of -2.5 V was applied for 8 h; in the
second phase, the voltage was increased to -2.7 V and applied for 24 h; and in the
third phase it was further increased to -2.9 V and left unchanged for 24 h. It was
deduced that the reactions presented in Equations 2.12-14 took place in the first
phase, which are attributed to a chemical reduction through calcium deposition. In
the second phase, the chemical reaction illustrated in Equation 2.15 took place
concurrently with the electrochemical reaction in Equation 2.16 at a lesser
potential. The third phase involved the decomposition of CaTi2O4 and the
formation of TiO, Equation 2.17. The TiO then further reduced electrochemically
to produce titanium metal with solid solutions of oxygen in titanium, Ti[O]δ, where
δ → 0. Thus, concluding that the reduction of TiO2 to Ti in CaCl2 is a combination
of both, chemical and electrochemical processes.
4𝑇𝑖𝑂2 + 𝐶𝑎2+ + 2𝑒− ↔ 𝑇𝑖3𝑂5 + 𝐶𝑎𝑇𝑖𝑂3 2.12
3𝑇𝑖𝑂2 + 𝐶𝑎2+ + 2𝑒− ↔ 𝑇𝑖2𝑂3 + 𝐶𝑎𝑇𝑖𝑂3 2.13
2𝑇𝑖𝑂2 + 𝐶𝑎2+ + 2𝑒− ↔ 𝑇𝑖𝑂 + 𝐶𝑎𝑇𝑖𝑂3 2.14
𝐶𝑎𝑇𝑖𝑂3 + 𝑇𝑖𝑂 ↔ 𝐶𝑎𝑇𝑖2𝑂4 2.15
2𝐶𝑎𝑇𝑖𝑂3 + 2𝑒− ↔ 𝐶𝑎𝑇𝑖2𝑂4 + 𝐶𝑎
2+ + 2𝑂2− 2.16
𝐶𝑎𝑇𝑖2𝑂4 + 2𝑒− ↔ 2𝑇𝑖𝑂 + 𝐶𝑎2+ + 2𝑂2− 2.17
𝑇𝑖𝑂 + 2(1 − 𝛿)𝑒− ↔ 𝑇𝑖[𝑂]𝛿 + (1 − 𝛿)𝑂2− 2.18
Studies by Dring et al. [48, 49] on thermally grown titanium oxide thin films,
showed that four cathodic peaks associated with the electrochemical reduction of
TiO2 were observed. The cyclic voltammogram is shown in Figure 2.11. C0 is
2. Background Review 21
associated with the decomposition potential of the salt and the deposition of Ca. C4
to C1 are attributed to the corresponding reactions in Equation 2.19. These were
also characterised using XRD, SEM and EDS.
𝑇𝑖𝑂2𝐶4→ 𝑇𝑖3𝑂5
𝐶3→ 𝑇𝑖2𝑂3
𝐶2→ 𝑇𝑖𝑂
𝐶1→ 𝑇𝑖[𝑂]𝛿 2.19
In the initial stages, the formation of CaTiO3 through the chemical reaction of TiO2
with Ca2+
and O2-
was observed. However, the titanate phase was not observed in
the later stages with TiO. It was established that the diffusion of oxide ions in the
product titanium-oxygen was the rate determining step. The formation of CaTiO3
was due to the high concentration of oxide ions on the surface, and displaced the
reduction reaction of Ti2O3 to TiO with reactions that possess significantly more
negative potentials than predicted by the bulk oxide content of the salt. Under such
high local oxide activity, the calciothermic reduction of titanium oxide, due to the
formation of elemental calcium, was substantial. Thus, the reduction process was
also determined to be a mixture of both, chemical and direct electrochemical.
Figure 2.11 - Cyclic voltammograms of TiO2 and inert electrode in CaCl2, scan rate:
50 mV s-1
, at 900 ˚C [49].
2. Background Review 22
An in-situ synchrotron diffraction study was conducted by Bhagat et al. [50],
which shed more light onto the reduction pathway of TiO2 to Ti in CaCl2. The
precursors in the study were in the form of pellets. The most important finding
from this study was that it confirmed the presence of the CaTiO3 titanate species,
from the early stages of the process until almost the very end, before the final
reduction of TiO, which was different from findings in previous works.
Stoichiometric analyses of the results also showed that the formation of CaTi2O4
was due to the reaction of CaTiO3 with TiO, rather than to a direct electrochemical
reduction of the titanate species.
Many studies on the FFC Cambridge process were undertaken to develop the
understanding of it and its different uses. Studies on the extraction of titanium from
different pellet and sponge-like precursors [51-53] were carried out. Also,
investigations using cheap precursors, such as titania dust and titanium-rich slug
[54]. It was noted that some metallic impurities, such as aluminium and
manganese, were partly or completely removed during the electrolysis. In addition,
the FFC Cambridge process was successfully employed, using mixed oxide
precursors, to produce NiTi [55-57], Ti-Mo alloys [58] and Ti-W alloys [59].
Figure 2.12 - Stages of the FFC Cambridge process [60].
2. Background Review 23
The patent [43] on the FFC Cambridge process claims that a number of metals and
semi-metals, such as Ti, Si, Ge, Zr, Hf, Sm, U, Al, Nd, Mo, Cr and Nd, can be
produced with the starting material being the metal oxide, nitride, sulphide or
carbide in a fused salt system. However, the majority of the research that has been
reported so far has been on metal oxides, especially titanium dioxide. The FFC
process for the production of titanium metal has been successfully scaled up, and is
being industrialised by multiple developers. Figure 2.12 illustrates the simple
stages that occur in the FFC Cambridge process for titanium metal production.
2.5.2 The three-phase interline (3PI)
The initial three-phase interline (3PI) model was proposed by Chen et al. [61]. It
was developed by Deng et al. [62], and a comprehensive model by Kar and Evans
[63] then followed. Any two phases are connected by a two-dimensional plane, and
any three phases can only be connected by a one-dimensional point or line, the 3PI.
The 3PI connects a conducting solid metal phase (SMP), an insulating solid
compound phase (SCP) and a liquid electrolyte phase (LEP). In the case of a
molten salt system, these are the metal phase (current collector), the metal oxide
phase and the fused salt phase. This is illustrated in Figure 2.13.
Figure 2.13 - Schematic representation of a three-phase interline (3PI) connecting a
solid metal phase, a solid compound phase (metal oxide), and a liquid electrolyte
phase (molten salt). The grey planes are the interlines between two neighbouring
phases. At the 3PI, electron transfer occurs between the metal and the metal oxide and
oxygen anion transfer between the metal oxide and the molten salt.
2. Background Review 24
Along the 3PI, electron transfer occurs between the metal and the metal oxide, and
oxide anion transfer occurs between the metal oxide and the molten salt. The 3PI is
vital for the electrochemical reduction reaction. The longer the 3PI, the larger the
current flow. As a reaction proceeds, the length and shape of the 3PI changes. The
3PI model, however, does not account for any inherent electrical conductivity of
the oxide species. It also overlooks any changes in electrode morphology that takes
place. Nonetheless, the model agrees with experimental findings to a reasonable
level.
2.5.3 Challenges for electrochemical reduction in molten salts
There are a number of issues that arise when using a standard reactor setup,
whether using electrode rods, porous pellets or sponge-type precursors as
electrodes. In the case of reducing titanium oxide via the FFC Cambridge process,
the current efficiency is quite low, 10-40%, to achieve sufficiently low oxygen
content, 0.3%, in the final titanium product [51]. The current efficiency and the
speed of the process must be increased in order to allow the electrochemical
reduction of refractory metals in molten salts to be applied industrially [64]. This
low efficiency and low speed of the process could be due to a number of reasons,
such as diffusion, oxygen ionisation, electrolysis of molten salts, metal-to-oxide
molar volume ratio, and transport characteristics of such systems. However, the
most convincing explanations, from experimental results obtained from works on
this matter are: the limited diffusion of the electrolyte within the precursor porous
matrix, thus leaving the inner parts unreduced [65, 66]; and the anomalous electro-
migration of oxygen vacancies in reduced metal oxides [67-69].
As a reduction reaction proceeds, the 3PI propagates, this is demonstrated in Figure
2.14, outward from the current collector to the inner parts of the precursor, and
then inward from the reduced metallic surface towards the precursor’s centre. The
current increases initially, plateaus, then reduces until it stops [61]. This is due to
the electrolyte not diffusing to the inner parts of the electrode, hence, the absence
of the 3PI. This is due to the nature of the morphology of the oxide precursor, and
to the change in density and structure of the materials reduced on the surface. For
example, some metals, tend to have much higher densities than their oxides,
2. Background Review 25
causing the metallic surface to collapse onto itself, creating a much denser
morphology, hindering the diffusion of electrolyte [56].
Figure 2.14 - Schematic of the 3PI propagation mechanism of a cylindrical metal oxide
pellet. (a) Propagating from the current collector along the surface. (b) Propagating
within the pellet [61].
Precursors in the form of oxide films, pellets or sponge-types are all porous. The
size and interconnectivity of these pores affects the reduction process [51, 52].
When the metal oxide is reduced, some of the oxide ions transfer into the melt and
migrate to the anode; however, some of them are trapped in the cathode’s pores, as
was observed by Dring et al. [49], where it was noted that the concentration of
oxide ions at the surface of the electrode was higher than in the bulk molten salt.
This can change the potential needed for the reduction significantly (refer to
predominance diagrams, Chapter 4). It can also cause the formation of other metal
phases (e.g. calcium titanate) due to the salt cation reacting with the oxygen ions on
the surface. Ultimately, the oxide ions on the surface could block the current
transfer, bringing the reduction process to a halt and leaving the inner parts of the
metal oxide precursor unreduced.
Thus, creative new process designs must be developed to improve the efficiency
and performance of the electrochemical reduction of metal oxides. One solution
could be the use of a ‘fluidised cathode’ process [70], which was developed within
the scope of this thesis.
2. Background Review 26
2.6 ‘Fluidised bed’ electrochemical processes
Numerous experimental, theoretical and review studies have been published on
fluidised bed electrochemical processes [71-79]. The main advantages of
employing fluidised bed electrodes are their large specific area (high specific
productivity), and the free flowing character of their fluidised bed structure [80].
Applications include fuel cells, hydrogen peroxide synthesis [81, 82], water
purification and organic electrosynthesis [83, 84]. In fuel cells, the fluidised
particles are sometimes coated with catalyst to enhance the process [74]; their main
uses are as fluidised bed anodes for carbonate fuel cells [85-88] and cathodes for
alkaline fuel cells [73, 74, 89, 90]. In water purification a large tank containing a
fluidised bed of particles is commonly used. These particles are charged
cathodically by a feeder electrode, as the waste water flows through the tank, metal
ions are absorbed on the surface of the charged particles. When these particles then
come into contact with the working electrode, the potential drives a charge transfer
reaction and the unwanted metals are deposited as discharge. The particles need
replacing with fresh ones very often in such continuous processes [91].
Fluidised bed electrochemistry has been extensively studied and used in the
recovery of copper and other metals from dilute solutions for environmental
applications [92]. The metals to be eliminated are usually at low concentrations
(less than 1 g l-1
) [80]. A schematic of the process is demonstrated in Figure 2.15.
The metal recovery process operates in a similar way to fluidised bed electrodes in
water purification technology, where the metal ions are attracted to the charged
fluidised bed particles and form a layer on the outside of the particle. There is a
continuous feed and recovery of the metal in dilute solutions by the introduction of
small particles at the top of the bed and the removal of grown particles at the
bottom of it [93, 94]. In this thesis, the particles themselves are reacted and reduced
from the metal oxide to the metal phase.
Some disadvantages in using fluidised beds in pyroprocessing could be the
difficulty of separating the materials from the salts, and the risk of creating small
free flowing particulates of fission products that could escape, or get carried by
gases.
2. Background Review 27
Figure 2.15 - Fluidised bed electrolysis reactor according to Fleischmann and
Goodridge [95].
Fluidised bed electrodes have been studied and used industrially in various
applications, though their definition is not precise; for example, sometimes they are
reducing agents and other times they act as catalysts, yet they are still loosely
called ‘fluidised bed electrodes’. They have not been applied in molten salt
electrochemical reduction processes, yet they may be a viable route to increasing
the performance of such processes.
In the proposed arrangement, metal oxide particles are suspended in the molten salt
via the use of an agitator (e.g. inert gas bubbling, stirring). An inert current
collector, held at a suitable potential, is used, and an anode separated in its own
compartment, to stop the reoxidation of the reduced metal particles. A schematic of
the fluidised cathode process, and the different paths that a metal oxide particle
could follow to be reduced, is illustrated in Figure 2.16. When a metal oxide
particle is suspended and agitated in the fused salt, it comes into contact with the
current collector, where a 3PI is instantly initiated, it is then either reduced fully or
2. Background Review 28
partially, and it could get deposited on the electrode’s surface or reflected from it
back into the bulk salt. This process can be repeated multiples times for all
particles until the reduction reaction reaches completion. The final product can then
be retrieved from two areas: the deposit on the current collector’s surface and the
bottom of the reactor crucible, as particles sink and settle due to the high density of
refractory metals.
Figure 2.16 - Schematic of a fluidised cathode process in a molten salt showing various
reaction mechanisms between particles in the melt and the electrode.
Studies on the electrochemical reduction of metal oxide particles on surfaces have
recently been published [96-98]. However, these particles were small in size, not
fluidised, and were used for thin film preparation. The fluidised cathode process is
a larger-scale three-phase metal oxide to metal reduction process. A 3PI is
continuously being created, every time an impending metal oxide particle comes
into contact with the current collector. The matrix of the fluidised cathode also
elevates the diffusion of electrolyte within the metal oxide particles, and of the
oxygen ions within the electrolyte. Another proposed advantage of using a
fluidised cathode process is that it would eliminate certain steps, in the preparation
of the precursor and recovery of the reduced metal in the FFC Cambridge process,
such as steps 3, 4 and 5 in Figure 2.12, with associated cost reductions.
2. Background Review 29
2.7 Spent nuclear materials in molten salts
A significant amount of research on fission products in fused salts has been carried
out over the past century. Molten salts provide a stable, proliferation resistant
electrolytic medium for the dissolution, electro-plating, electro-reduction and
refining of spent nuclear materials.
In an early study by Inman et al. [99], known quantities of UCl3 were dissolved in
an alkaline earth metal chloride eutectic, and a pure uranium working electrode
was used. Following Equation 2.20, uranium was deposited on the working
electrode. At current densities less than 100 mA cm-2
, the process had 100%
Faradaic efficiency, based on the total deposit (adherent and non-adherent on the
electrode surface) and the Nernst equation for the 3-electron-transfer determining
step in Equation 2.20.
𝑈 ↔ 𝑈3+ + 3𝑒− 2.20
The cell potential at 452 °C was determined to be -1.398 V (vs. 1 wt% Ag/Ag+
reference electrode). It was also observed that some of the product was formed
from a reaction with lithium in the salt, which resulted in a powdery deposit, and
some of the product formed at lower potentials directly at the electrode resulted in
a dendritic deposit. A similar, more recent study by Kuznetov et al. [100], using a
tungsten working electrode, determined that the reduction potential for Equation
2.20, in a LiCl-KCl eutectic at 500 °C was ~ -1.5 V.
Most research on spent nuclear materials in molten salts was developed by the
ANL [101-103]. Their molten salt electrorefiner, the schematic of which is
presented in Figure 2.17, was a great innovation in nuclear molten salt technology.
The electrorefiner comprises two cathodes: a solid steel/iron cathode, and a liquid
cadmium cathode. Spent nuclear fuel is chopped and placed in a basket at the
anode. This is then anodically oxidised. The actinides are reduced at the bottom of
the electrorefiner at the liquid cadmium pool. Uranium is then electro-transported
to the steel cathode, and a mixture of U, Pu and other actinides are transported to
the liquid cadmium basket, and the Cd pool acts as the anode. Less noble fission
products (e.g. alkali metals and alkaline earth metals) remain oxidised in the salt;
2. Background Review 30
while the metals in the fuel cladding alloy and the noble fission products (e.g.
ruthenium and palladium) are not oxidised and remain in the anode basket, or sink
to the bottom of the electrorefiner as sludge in the cadmium pool. The deposit of
uranium on the steel cathode was dendritic and sufficient for retrieval; however,
once the process was applied to mixed fission products, especially plutonium, the
morphology of the deposit was not adherent; therefore, the liquid cadmium cathode
was introduced.
Figure 2.17 – Schematic of the electrorefining process developed by the ANL,
operated at 500 °C, where AM = alkali metals, AEM = alkaline earth metals, MA =
Np, Am and Cm, NM = noble metals, RE = rare earth metals, FP = fission product
[104].
The electrorefiner was studied and developed further by Koyama et al. [19, 20,
104], they replaced the steel electrode with a pure iron cathode; and by other
researchers [105, 106], who established the potentials at which the actinides and
the cladding materials (e.g. Zr) are reduced from their chlorides, after they are
anodically oxidised. These redox potentials are summarised in Table 2.4. One
important thing to take notice of is that the potentials for the same redox reactions
differ slightly from one study to another (e.g. for the U (III) / U(0) couple, from
2. Background Review 31
Inman et al., Kuznetov et al. and Koyama et al.). This is due to the fact that cell
potentials in molten salt systems are strongly dependant on the O2-
ion activities in
the fused salts, which are difficult to control and are sometimes not accounted for
after salt treatments have been applied. This phenomenon is discussed thoroughly
in thermodynamically produced predominance diagrams, in Chapter 4.
Table 2.4 – Redox potentials of relevant elements in LiCl-KCl eutectic salt at indicated
operating temperatures (V vs. Ag/Ag+ reference electrode) [104-107].
400 °C 450 °C 500 °C
U (III) / U (0) -1.274 -1.233 -1.190
Pu (III) / Pu (0) -1.591 -1.543 -1.497
Np (III) / Np (0) -1.472 -1.434 -1.390
Am (II) / Am (0) -1.592
Zr (II) / Zr (0) -0.693
There are six types of Generation IV nuclear reactors and power plant under
development, these are: the very-high-temperature reactor (VHTR), the sodium-
cooled fast reactor (SFR), the supercritical-water-cooled reactor (SCWR), the gas-
cooled fast reactor (GFR), the lead-cooled fast reactor (LFR), and the molten salt
reactor (MSR). These designs and their operating conditions are summarised in
Table 2.5. The fuel type used in the majority of these reactors is metal. Considering
the fact that most reactors currently in use utilise metal oxide (MOX) fuel and most
of the nuclear legacy waste is from MOX fuel, the conversion of metal oxides to
metals is an important parameter for the development of safer and more efficient
nuclear power generation. As discussed in Section 2.3, pyroprocessing of spent
nuclear fuel provides an inherently safe technology that is also resistant to nuclear
proliferation. Thus, the reduction of spent fuel metal oxides to metals is of
importance to the development of civilian nuclear technology.
2. Background Review 32
Table 2.5 – Generation IV reactor designs under development [108].
Reactor Neutron
spectrum
Coolant Temperature
°C
Fuel cycle Fuel type Size
(MWe)
VHTR Thermal Helium 900 – 1000 Open Oxide 100 – 300
SFR Fast Sodium 550 Closed Metal/oxide 50 - 1500
SCWR Thermal/fast Water 510 – 625 Open/closed Oxide 1000 – 1600
GFR Fast Helium 850 Closed Metal 1000
LFR Fast Lead 480 – 800 Closed Metal 20 – 1200
MSR Fast/thermal Fluoride
salts
700 – 800 Closed Metal* 1000
*The metal is dissolved in the fluoride salt (e.g. UF4 and ThF4).
Numerous studies on the electrochemical reduction of spent fuel oxides in molten
salts have been published. In a study by Hermann et al. [109], crushed spent fuel
was loaded into a stainless steel basket and submerged in molten LiCl-1 wt% Li2O
at 650 °C. A platinum anode and a Ni/NiO reference electrode were used. They
determined that Equation 2.21, for the direct electrochemical reduction of UO2 to U
metal, took place at a potential of -2.40 V, and that the potential required for Li
deposition from the salt, Equation 2.22, was -2.47 V. Thus, there was only a
potential difference of 70 mV between the two reactions, which proved that the
direct electro-reduction was difficult to achieve. However, the chemical reduction
via Equation 2.23 provided supplementary help to the entire process. The only
disadvantage being that the lithium evolution resulted in attacking the platinum
anode and dissolving it. Choi et al. [110] managed to reduce 17 kg of UO2 to U
metal in LiCl-Li2O. They concluded that a small pellet size, with a high anode
surface area resulted in higher current efficiencies.
𝑈𝑂2 ↔ 𝑈 + 𝑂2 2.21
𝐿𝑖2𝑂 ↔ 2𝐿𝑖 +1
2𝑂2 2.22
4𝐿𝑖 + 𝑈𝑂2 ↔ 𝑈 + 2𝐿𝑖2𝑂 2.23
Studies on the reduction of U3O8 were also published. Seo et al. [111] conceived
the main reduction potential for reducing U3O8 to U to be -2.27 V. In a further
study by Jeong et al. [112], 20 kg of U3O8 were reduced successfully to U, with
2. Background Review 33
more than 99% conversion. The reducing potentials seemed to vary from -2.47 V -
-3.46 V. They concluded that an increase in the size of the pellets used in the
cathode inhibits the diffusion of electrolyte to the inside of them, leaving them
unreduced. This can be explained by the 3PI theory, described in Section 2.5.
In a study published by Sakamura et al. [113], UO2 was reduced to U in both CaCl2
and LiCl. The reduction in CaCl2 appeared at < 0.6 V vs. Ca/Ca2+
at 800 °C.
However, the conversion was not successful enough, as the diffusion of oxygen
and electrolyte in the precursors appeared to be problematic. In LiCl, the reduction
potential was < 0.15 V vs. Li/Li+ at 650 °C. The deposition of lithium was
observed, and the process in LiCl had a higher current efficiency and better
electrolyte diffusion in the precursor. Nonetheless, the reduction potentials in both
systems were established to be very close to the salts’ decomposition potentials.
Hur et al. [114] carried out the reduction of UO2 to U metal in molten LiCl-KCl-
Li2O at 520 °C. The reduction potential was at -1.27 V vs. a Li-Pd reference
electrode. They established that the reduction process was entirely caused by the
chemical reduction reaction of UO2 with Li. The contradictions in reducing
potentials in the different studies is again due to the fact that the activity of O2-
ions
in the molten salts is not accounted for, which can change the required potentials
for certain reactions. This is explained in Chapter 4. When the reduction potentials
and the salt’s decomposition potential are close to one another, as is the case for the
reduction of UO2 in fused salt systems, the activity of O2-
ions also affects the
kinetic pathways and rate determining steps of the process. However, the most
important conclusion to draw from this, is the fact that the reduction of UO2 to U
metal, appears to take place in one overall direct 4-electron-transfer step, without
any intermediate uranium oxides being formed (e.g. UO).
2.8 Summary
To set the theme for this research, a background review on nuclear energy and
reprocessing technologies has been provided, molten salts and their applications
have been covered, electrochemical reduction processes for metal productions in
molten salts have also been covered, some fluidised bed electrode technologies
2. Background Review 34
have been included, and finally the electrochemistry of spent nuclear materials in
the literature was also included.
The electrochemical reduction of spent nuclear materials is an important
development for civilian nuclear applications, especially for next generation power
plants. Molten salts provide an excellent electrochemical route for the conversion
of spent fuel to reusable metal fuel, as they are safer, smaller, and produce less
waste streams than aqueous reprocessing routes.
The aim of this thesis is to develop the understanding of spent nuclear materials
behaviour in molten salts, via thermodynamic and electrochemical techniques, and
to investigate electrochemical reduction processes from metal oxides to metals,
which can prove to be significant in future Generation IV nuclear power plants.
New reactor designs are investigated as well, to improve the efficiency of such
processes.
3. Experimental 35
3. Experimental
This chapter is divided into three sections. The main electrochemical techniques
used in experiments are described, the material characterisation techniques used are
also described, and the experimental set-ups and designs are also covered.
3.1 Electrochemical techniques
The majority of the electrochemical studies in this work are conducted using
controlled potential techniques. The chosen potential is set into the potentiostat’s
control, and in turn it supplies the required charge to reach this potential. The
systems studied comprise an oxidised species O and a reduced species R, with
redox reaction O + ne- ↔ R, and associated reduction potential EO/R.
3.1.1 Linear sweep and cyclic voltammetry
Linear sweep voltammetry (LSV) and cyclic voltammetry (CV) are two commonly
used techniques, and are usually the first electrochemical characterisation processes
used to study a system. Both have linear potential versus time functions. In CV, the
potential is reversed and cycled between two set potentials at a constant rate (V s-1
).
The current response occurs at an array of potentials at which the over-potential is
increasing, and in the absence of other charge transfer reactions, this current
reaches a maximum, then starts to decline until it flattens out. Figure 3.1 (a-b)
shows the potential versus time waveforms for LSV and CV for a reversible
(Nernstian) charge transfer reaction.
3. Experimental 36
Figure 3.1 - (a) Potential vs. time waveform for linear sweep voltammetry (LSV). (b)
Potential vs. time waveform for cyclic voltammetry (CV). (c) Current vs. time
response corresponding to LSV. (d) Current vs. potential response corresponding to
CV.
In Nernstian processes, electron transfer is rapid, thus the diffusion of the electro-
active species into the electrolyte is rate determining. In irreversible processes,
electron transfer is very slow, and quasi-reversible processes are both diffusion and
charge transfer limited. In LSV and CV, the diffusion layer at the electrode surface
is not allowed to reach equilibrium, due to the sweep rate of such scans.
For the reversible reaction O + ne- ↔ R, the concentration gradient profile
presented in Figure 3.2 depicts the depletion of O.
The flux of O into the electrolyte is directly proportional to the concentration
gradient of O at any time; this is described by Fick’s first law of diffusion,
Equation 3.1, where the diffusion coefficient of O, DO, is constant.
3. Experimental 37
𝑞(𝑥, 𝑡) = 𝐷𝑂𝜕𝐶𝑂(𝑥,𝑡)
𝜕𝑥 3.1
The flux is measured as current in the external circuit. Under fixed conditions of
potential, the flux would diminish as the concentration gradient decreases due to
diffusive mass transfer of O. In LSV and CV, the potential varies with time, thus
giving O a concentration profile over time at the electrode surface. When the
concentration profile reaches curve 4 in Figure 3.2, the concentration gradient is at
its maximum, which gives rise to the current peaks in Figure 3.1 (c-d).
The main advantage of CV over LSV is that for Nernstian reaction O + ne- → R, it
shows the coupled peak for the reoxidation reaction R → O + ne-, for the redox
couple. It also gives better insight into whether a reaction is in fact
electrochemically reversible, irreversible or quasi-reversible (i.e. only part of the
reverse reactions steps can take place).
As the electron transfer process becomes slower, the cathodic and anodic peaks
broaden and the separation between them becomes larger, due to higher over-
potentials.
Figure 3.2 - Oxidised species (O) concentration vs. distance at different times, 1-5,
during a linear sweep voltammetry.
3. Experimental 38
3.1.2 Chronoamperometry
In chronoamperometry, a set constant potential is applied for a specified time
period, and the current response is measured. For the redox reaction O + ne- ↔ R,
with reduction potential EO/R, at potentials less than the reduction potential, no
reaction would occur; however, at a range of potentials higher than EO/R, the
reduction reaction of O would occur rapidly, with associated charge transfer. The
current versus time response for chronoamperometry is illustrated in Figure 3.3.
The rate at which O moves to the electrode surface is limited by diffusive mass
transfer, which the amount of current flux is proportional to.
The concentration profile of O over time, and the diffusion limited current iD, can
be described by Fick’s second law of diffusion, Equation 3.2, where the boundary
conditions are defined as: lim x → ∞, CO(x,t) = Cbulk and CO(0,t) = 0.
𝜕𝐶𝑂(𝑥,𝑡)
𝜕𝑡= 𝐷𝑂
𝜕2𝐶𝑂(𝑥,𝑡)
𝜕𝑥2 3.2
The advantage of using chronoamperommetry over linear sweep techniques is that
it allows for the electrode to reach polarisation, and it is a more adequate
methodology for analytical characterisation.
Figure 3.3 - Current vs. time response for chronoamperommetry.
3. Experimental 39
3.2 Material characterisation techniques
Following the electroanalytical techniques, material characterisation techniques
were used to identify materials and phases before and after experiments were
conducted. The three techniques used here are: X-ray diffraction for phase
identification; scanning electron microscopy, coupled with energy dispersive x-ray
spectroscopy, for microstructural measurements and phase identification; particle
size analysis for size distributions of powder particles.
3.2.1 X-ray diffraction
Powder X-ray diffraction (XRD) is a very important tool for chemical analyses to
provide evidence for electrochemical processes. The basic principles behind it can
be described using Bragg’s law, Equation 3.3, where n is the order of diffraction
(normally this is unity), λ is the wavelength of the radiation, d is the inter-planar
spacing of the crystal being analysed, and θ is the angle between the diffracted and
incident ray and the crystal plane. This is illustrated in Figure 3.4.
𝑛𝜆 = 2𝑑 sin𝜃 3.3
When n is 1, the scattered beams from successive planes will each travel a distance
differing by one wavelength. The beams will constructively interact registering an
intense diffraction beam at the X-ray detector.
The apparatus used for XRD analysis is a Stoe StadiP capillary geometry system
with a molybdenum source. Eva (Bruker) software, coupled with Mercury
software, and database from the Royal Society of Chemistry (ICSD data base) were
used to analyse and match the diffraction data for phase identification with patterns
from the literature. The sample to be analysed was ground into fine powder and
placed inside a 0.3 or 0.5 mm in diameter capillary, which was then sealed to
protect sensitive samples from air and moisture. The capillary was mounted in a
sample holder and was continuously rotating when measurements were taken.
Typical parameters used were: a measurement angle of 2 – 50 ° with 0.5 ° step, and
20 s step-1
.
3. Experimental 40
Figure 3.4 - X-ray diffraction schematic of a crystal.
3.2.2 Scanning electron microscopy and energy dispersive X-ray spectroscopy
Samples were analysed with scanning electron microscopy (SEM) using a Carl
Zeiss XB1540 apparatus, which is also equipped with a “cross-beam” focused ion
beam (FIB) microscope for microscopic milling of surfaces. Samples in the form of
fine powders were mounted simply by placing them on carbon adhesive discs that
are mounted on the SEM stubs. Working electrodes and current collectors were
mounted in epoxy resin. They were placed in a desiccator that is fitted with a
vacuum pump and left for about 10 minutes to allow the resin to penetrate through
the pores in the samples and to remove air bubbles in the epoxy. After drying, the
sample was ground using silicon carbide grinding paper, starting with a 220 grit,
the sample was ground until smooth, then ground again in a direction perpendicular
to the previous one using a 500 grit. This was repeated using 800, 1200, 2400 and
4000 grits. The samples were inspected under an optical microscope throughout the
grinding procedure. Before placing a sample in the SEM chamber, its surface was
gold coated, using a gold coating machine.
Quantitative analyses were performed using X-ray energy dispersive spectroscopy
(EDS), which was calibrated against a cobalt standard before every use. It was
typically operated at ~20.00 keV and ~15 mm working distance.
3.2.3 Particle size analysis
Samples were analysed using a Beckman Coulter LS13320 laser diffraction particle
size analyser. Laser diffraction correlates the patterns of scattered light and its
3. Experimental 41
intensity at different angles to the particle size distribution of a sample. The
apparatus is fitted with a PC for data collection, which provides particle size
distribution data using the Mie theory (this is explained in the Beckman Coulter
LS13320 manual which can be found online). Small powder samples were
dispersed in deionised water in a special sample holder through which laser is
scattered and detected.
3.3 Experimental design
The experimental set-up was designed to exploit the physical properties of the salt
eutectic, mainly the low melting point of the LiCl-KCl eutectic (352 °C). This
allowed the use of borosilicate glass as the cell wall material, which was beneficial
as it provided visual access to the process.
The rig consisted of three compartments. The crucible: a disposable container
placed inside the cell envelope which contains the molten salt; the envelope: the
outer container of the electrochemical cell, which seals the process from the outer
environment and was used as a safety precaution to contain the molten salt in case
of crucible breakage; the heating element: two different heating methods were
used, one employing a thermostatic salt bath, and one using a vertical tube furnace.
Although the reaction cell was sealed with a constant stream of argon passing
through the top part of it, the experiments utilising the thermostatic salt bath were
carried out inside a dry glove-box, Figure 3.5. This limited water, or any other
types of contaminants, from entering the reaction vessel. The glove-box was made
of Perspex, providing extra shielding when handling uranium, and also protected
against heat given off from the rig.
Figure 3.6 illustrates the general full schematic of the experimental rig. There were
two loops; a closed one where the air inside the glove-box was pumped through
two desiccant tubes in series, to absorb water vapour and reduce humidity, then
was recycled back into the glove-box; and an ‘open loop’ where dry argon was
passed to the inside of the reaction cell, via a flowmeter creating an argon blanket
at the top of the cell, and then out of the reaction cell and the glove-box into a fume
cupboard, whilst passing over two Dreschel bottles to prevent any back flow. There
were two cooling fans at opposite corners of the glove-box to aid the distribution of
3. Experimental 42
temperature, and prevent the Perspex walls from reaching critical heat.
Thermocouples were placed in all sections of the rig to monitor the temperature.
There was also a camera mounted and pointed toward the reaction cell, ready to
record any visual activity.
Figure 3.5 - Perspex dry glove-box containing molten salt electrochemical cell.
3.3.1 Heating and temperature control
Two methods were used for heating the electrochemical cell components to the
desired temperatures. One method uses a thermostatic salt bath, similar to the
arrangement used by Inman and Bockris [115], which benefits from visual
accessibility throughout experiments. The other uses a typical vertical tube furnace,
which is more practical in terms of time and reliability; however, one cannot
inspect the process visually whilst experiments are running.
3. Experimental 43
Figure 3.6 - Schematic of the rig set-up, showing components inside and outside the
dry glove-box.
3.3.1.1 Thermostatic salt bath
The thermostatic salt used was a NaNO3-KNO3 eutectic. It was kept and melted in
a 5 L borosilicate glass heavy-duty beaker, to maintain visibility. Corrosion and
attack effects from the salt on the glass were negligible [116], hence the container
beaker could be used for a large number of experiments. The salt eutectic, once
molten, is homogeneous in temperature and has the ability to store energy for a
long period of time [117]. The eutectic is equimolar and has a melting temperature
of 220 ˚C, as illustrated in the phase diagram in Figure 3.7. It has a latent heat
value of 97 J g-1
. Information on its viscosity and specific heat values at different
temperatures can be found in the works by Coscia et al. [118] and Nissen [119].
3. Experimental 44
Figure 3.7 - Phase diagram for NaNO3-KNO3 eutectic [120].
To heat up the thermostatic salt bath an immersion heater was used. The tubing
material for the immersion heater was silica glass, which withstands higher
temperatures and has higher mechanical integrity when compared to borosilicate
glass. The dimensions of the immersion heater are shown in Figure 3.8. The reactor
cell, when placed in the thermostatic salt bath, is encircled by the bottom round
side of the immersion heater, Figure 3.10.
Figure 3.8 - Dimensions of silica tubing for immersion heater.
3. Experimental 45
Figure 3.9 - Schematic for heating apparatus.
Nichrome wire, 0.46 mm thickness and 4 m long, was coiled up and put through
the silica tubing. This was then connected to a power source and voltage was
passed through it via a variac, as illustrated in Figure 3.9. A small light bulb was
also connected to the top of the immersion heater, to indicate when the power was
on, for safety. Calculations were carried out, Appendix A, to estimate the voltage
needed to be passed through the nichrome wire to reach specific temperatures of
the thermostatic salt bath. This was set at the variac and presented in Table 3.1.
Nonetheless, these are estimates as the heat loss to the environment was not
accounted for. Thus, these calculated values provide an indication of the voltage
needed, and during experimentation the heating is monitored, via the use of
thermocouples, to be able to control the temperatures precisely.
Table 3.1 – Guideline for voltage required to achieve temperatures of 3 kg of NaNO3-
KNO3 thermostatic salt bath after 1.5 h.
T (˚C) 100 200 300 400 500 600
V (V) 44 65 90 102 113 123
Thermocouples were placed in different positions in the rig, as illustrated in Figure
3.6. There were two inside the main rig testing area: one inside the crucible of the
cell, to monitor the operating temperature, and one inside the thermostatic salt bath
beaker. The operating temperature could then be adjusted accurately via the variac.
In practice, the voltages required were much higher than the calculated ones, due to
losses of heat to the environment. There were more thermocouples placed around
the rig, to monitor the process and prevent reaching critical temperatures. These
3. Experimental 46
were placed at the front, back, sides, roof, bottom and corners of the Perspex glove-
box.
Figure 3.10 - Immersion heater rig.
3.3.1.2 Vertical tube furnace
A vertical split-tube furnace was used to provide heat to the electrochemical cell
(CSC 12/90/300 V furnace, Lenton). This was custom built to fit the reaction cell.
It provided a faster heating rate and a stable environment for electrochemical
processes. Measuring the temperature inside the crucible via a thermocouple
showed that the difference between the salt temperature and the set temperature of
the furnace is ~10 °C. This furnace does not afford optical access to the inside of
the cell.
3.3.2 Electrochemical cell
The electrochemical cell was mainly constructed from borosilicate glass. It consists
of the envelope, the crucible, a cell head and electrodes. The crucible was a 250 ml
high-form borosilicate glass beaker (Schott Duran). It was treated as dispensable,
due to breakage caused by salt shrinkage as it solidifies. The crucible is placed
inside the envelope. The envelope was a tall borosilicate glass beaker with a flange
(GPE Scientific Ltd), and was designed to the specifications presented in Figure
3.11.
3. Experimental 47
Machinable ceramic was used for making the cell head (Unfired Pyrophylite,
Ceramic Substrates and Components Ltd). It was supplied in the form of a tube
with 12 cm diameter. Discs of 0.5 cm thickness were sliced off the tube, then holes
were drilled through them with the desired dimensions and arrangement. The cell
head was then baked in a furnace (Vecstar VF1), at a ramp rate of 50 °C h-1
until
400 °C, followed by 100 °C h-1
until 1000 °C, then left at 1000 °C for an hour.
Schematics of the two different cell head arrangements used are illustrated in
Figure 3.14. Silicone rubber suba-seals (Sigma-Aldrich) were used to seal the holes
in the ceramic head, and the required electrodes and thermocouple were pushed
through them. They can withstand temperatures of up to 200 °C continuously or
400 °C intermittently, and it is easy to move the electrodes up and down through
them. A PTFE gasket (Sci-Labware) was placed between the envelope flange and
the cell head, which provided sealing from the environment. They were held
together using a metallic clamp (Sci-Labware). A schematic of the electrochemical
cell is illustrated in Figure 3.12.
Figure 3.11 - Dimensions of cell envelope.
3. Experimental 48
Figure 3.12 - Electrochemical cell schematic.
Two different electrolytic cells were used, the schematic for each is presented in
Figure 3.13 and the cell head arrangements in Figure 3.14. A K-type thermocouple
(Omega), placed inside a one end closed glass tube was always immersed in the
salt to monitor the temperature.
For the fluidised cathode set-up, the cathode comprises particles of metal oxide that
are agitated/suspended in the salt eutectic melt, and a pure metal rod current
collector, that has a glass sheath around part of it so that 4 cm of it were always
immersed in the salt, taking into account the movement of the surface of the melt
as the salt was being agitated. The anode was separated in its own compartment to
avoid reoxidation of the reduced particles. A glass frit (porosity 2, 15 mm in
diameter, VWR International) was used to allow for the flow of salt ions. This frit
was fitted with a glass tube that contained the anode. The anode compartment has
an opening at the top to allow for gases to escape. The particles in the crucible
were agitated via the flow of argon (99.998% purity, BOC) through the melt. It was
bubbled via a ceramic tube (5 mm internal diameter, Alsint).
3. Experimental 49
Figure 3.13 - Electrolytic cells. (a) For a typical cell set-up for the electrochemical
reduction of thin films or metal cavity electrodes (MCEs), (b) for the electrochemical
reduction of metal oxide powder using the fluidised cathode method.
3. Experimental 50
Figure 3.14 - Ceramic cell heads hole arrangements. (a) For a typical cell set-up. (b)
For a fluidised cathode set-up. 1 is the argon inlet, 2 is the argon outlet, 3 is for the
reference electrode, 4 is for the working electrode or current collector (also used for
the sacrificial electrode in pre-electrolysis), 5 is for the thermocouple, 6a for the
anode, and 6b for the anode compartment containing the anode.
3.3.3 Electrodes
The electrode materials needed to possess mechanical integrity, not contaminate
the salt and withstand the relevant temperatures. They were immersed in the salt
eutectic melt and held in position via the silicone suba-seals. The suba-seals are
electrically insulating, and seal the cell from the outside environment. A three
electrode system was employed as required, as it provides the same frame of
reference for all the electrochemical experiments involving potential
measurements. All electrodes were 32-35 cm in length.
3.3.3.1 Reference electrode
The reference electrode used was a Ag/Ag+ electrode [121]. Borosilicate glass
tubes were used as the membrane sheath for the electrode; they have one closed
end and one open end with 3 mm internal diameter and a 1 mm wall thickness (to
aid transport). Silver wire with a 0.203 mm diameter (99.95% metal basis, Alfa
Aesar) was used. A silicone suba-seal was used to seal off the open end of the glass
tube, Figure 3.15.
The preparation of the reference electrode was conducted inside an argon glove
box. Initially, the glass tube was baked for a few hours, at 200 ˚C, to get rid of any
3. Experimental 51
residual moisture. Using treated dry salt, prepared as detailed in Section 3.3.4, 10 g
of LiCl-KCl eutectic was mixed with 0.1 g AgCl (>99% purity, Sigma Aldrich).
The mixture was then heated until molten to ensure homogeneity. After cooling
down, the 1wt% AgCl in LiCl-KCl was ground to fine powder. The silver wire was
then placed inside the glass tube and pushed all the way to the bottom. Using a
small funnel, 1 g of the 1 wt% AgCl in LiCl-KCl was put inside the glass tube. The
tube was then sealed using a silicone suba-seal and the top of the silver wire was
pushed through it, exposing it for electrical conduction. A cross-section of the
reference electrode showing its configuration is illustrated in Figure 3.15. When
running an experiment, the reference electrode was immersed in the molten LiCl-
KCl eutectic, the salt inside the tube also melts and the reference electrode is
operational. Whenever Ag/Ag+ electrode is mentioned in this thesis, it contains 1
wt% AgCl.
Figure 3.15 - Cross section of the Ag/Ag+ reference electrode.
When electrochemical measurements are taken, the silver wire reacts with the
chloride salt in the melt inside the glass membrane, according to the reversible
redox reaction in Equation 3.4, creating a standard potential reference.
𝐴𝑔𝐶𝑙 + 𝑒− ⇌ 𝐴𝑔 + 𝐶𝑙− 3.4
3.3.3.2 Counter electrode
A high density graphite rod was used as a counter electrode, 3.05 mm in diameter
(99.9995% metal basis, Alfa Aesar). The graphite rods were reusable if good
mechanical integrity were maintained. They were cleaned thoroughly with acetone
3. Experimental 52
before each use, and were heated via torch flame until glowing red, to remove any
residual water from them.
3.3.3.3 Working electrode
All metal oxide powders used, WO3 and UO2, are described in Chapters 5 and 6
respectively. Their characterisation is included as well. Three types of working
electrodes were used; thin film electrodes, metallic cavity electrodes, and fluidised
cathodes. They are summarised as follows.
a) Thin film electrode
A thin layer of oxide was thermally grown on a tungsten rod, 1.5 mm in diameter
(99.95% metal basis, Alfa Aesar). This was done by thermally oxidising the
electrode in air at a temperature ramp rate of 250 °C h-1
, then holding the
temperature at 700 °C for 2 h. The rod’s surface became yellow/green in colour,
indicative of the formation of WO3.
b) Metallic cavity electrode (MCE)
Metallic cavity electrodes [122-126] were made using a 0.5 mm thick molybdenum
sheet (Sigma-Aldrich, 99.9% purity). The sheet was cut into 5 mm wide and 6 cm
long strips. Holes, or cavities, of 0.4 mm diameter were drilled at one end of the
strips, as shown in Figure 3.16 (b). These strips were then attached to a tungsten
rod using a molybdenum wire. When experiments were run, it was ensured that
only half of a strip was immersed in the molten salt, with all the cavities exposed to
the electrolyte, but keeping the wire and the tungsten rod above it. Before
conducting electrochemical tests, the cavities were filled with fine powder of the
desired metal oxide to be reduced, using two glass slides and a ‘finger pressing’
technique (here, a glass slide was placed on the desk, some powder was place on
top of it, the MCE was places on top of the powder allowing it to fill the cavaties,
some more powder was placed on top of the MCE, then a glass slide on top.
Carefully using fingers, the two glass slides were pressed together to fill the
cavities with dense powder).
3. Experimental 53
Figure 3.16 – (a) Working electrode for fluidised cathode set-up. (b) Metallic cavity
working electrode (MCE).
c) Fluidised cathode
For the fluidised cathode set-up, the cathode compartment comprises metal oxide
particles that were suspended in the fused melt via bubbling argon, and a current
collector. The current collector was a tungsten rod, 1.5 mm in diameter (99.95%
metal basis, Alfa Aeser) that has a Pyrex sheath around it, Figure 3.16 (a), to make
sure that 4 cm of the electrode is always, and only, immersed in the salt during
experiments. This is to guarantee that all current response effects are due to
particle-electrode interactions, and not to the electrolyte’s surface vibrating through
agitation.
3.3.4 Electrolyte and cell atmosphere handling
All preparation steps were carried out under a sealed argon atmosphere, in an argon
glovebox (MBRAUN), where O2 levels were always kept at less than 0.5 ppm, and
water levels were also kept at less than 0.5 ppm. Anhydrous lithium chloride (ACS
reagent, ≥99.0% purity, Sigma-Aldrich) and potassium chloride (≥99.5% purity,
Sigma-Aldrich) were used for the electrolyte. The salt was dried in a vacuum oven
at 200 ˚C for 24 h to get rid of any residual moisture, then 59-41 mol% LiCl-KCl
3. Experimental 54
were mixed together. The salt was placed in the crucible, which was placed inside
the envelope, then, with the electrodes in place, the cell was sealed. This was then
transferred to the rig, to be heated, and the argon inlet and outlet were connected.
During experiments, a constant stream of argon was applied, creating a blanket at
the top of the reaction vessel.
Cyclic voltammetry measurements were carried out on a LiCl-KCl salt eutectic at
450 °C using a pure tungsten electrode as the working electrode, a graphite rod as
the counter electrode, and a Ag/Ag+ reference electrode. The scan rate applied was
50 mV s-1
, scanned from 0 V to -3 V to 3 V and back to 0 V. The cyclic
voltammogram produced is shown in Figure 3.17. It illustrates the potential
window of the LiCl-KCl salt eutectic. As can be seen, there are no significant
current peaks between the potentials 1.1 V and -2.6 V. Thus, between these two
potential values lies the salt’s potential window. At 1.1 V chlorine gas evolution
starts and it reaches its maximum level at about 2.6 V. At -2.6 V lithium metal
formation starts. From predominance diagrams of LiCl-KCl eutectics, Chapter 4,
one can deduce that lithium metal formation starts before potassium metal
formation. There is a peak on the left hand side of the diagram, in the positive
direction, this is due to the fact that when the potential is swept in the positive
direction lithium is oxidised back into its ionic form. This does not appear on the
right hand side of the graph, where chlorine gas evolution takes place, as the Cl2
molecules evolved leave the melt. Again, if the potential window of LiCl-KCl from
this cyclicvoltammogram is compared to that established in the predominance
diagram, noting that here the potential is shifted to the right, as it is against a
Ag/Ag+ reference electrode and the predominance diagram is against the standard
chlorine electrode, one can see that the width of the window is about the same, 3.7
V. This supports the validity of the predominance diagram for predicting the
stability of the electrolyte. As for most molten salts, the potential window of the
LiCl-KCl eutectic is very wide, which allows for flexibility in conducting
electrochemical reactions.
3. Experimental 55
Figure 3.17 - Cyclic voltammogram showing the potential window of LiCl-KCl
eutectic at 450 °C, scan rate 50 mV s-1
, and reference electrode: Ag/Ag+.
Figure 3.18 - Chronoamperogram showing a typical pre-electrolysis of LiCl-KCl
eutectic at 450 °C, set voltage: -2.300 V, and reference electrode: Ag/Ag+.
3. Experimental 56
Figure 3.19 - X-ray diffraction spectrum (Mo Kα) of treated LiCl-KCl salt, showing
KCl (165593-ICSD [127]), and LiCl (26909-ICSD [128]).
Prior to conducting electrochemical experiments, the electrolyte is treated further,
via applying a constant potential of -2.3 V, close to the salt’s decomposition
potential, using a sacrificial tungsten electrode, a pre-electrolysis step, to remove
any residual contaminant and moisture. This is usually applied for a few hours.
Figure 3.18 illustrates a typical pre-electrolysis chronoamperogram. The salt
eutectic was analysed via X-ray powder diffraction, Figure 3.19, which shows the
spectra of pure LiCl and KCl, indicating that the salt is contaminant-free (free of
metal ions).
3.3.5 Electrochemical set-up
A PC computer controlled potentiostat (IviumStat, Ivium Technologies, NL) was
used to perform electrochemical tests. Most experiments were run using a four lead
option, working electrode, counter electrode, reference electrode and ‘sense’. The
sense lead is attached to the electrode just below the working electrode’s lead to
reduce the voltage drop effects from the connecting cable, which might affect the
3. Experimental 57
potential difference between the working and the reference electrode. The
potentiostat was used to run electro-analytical tests such as cyclic voltammetry
(CV), linear sweep voltammetry (LSV), chronoamperommetry and
chronopotentiommetry.
3.4 Summary
In this chapter, the electrochemical and material characterisation techniques used in
this research have been outlined. The experimental designs and materials used have
also been covered, including the electrolytic cells, the electrodes and the salt
eutectic used in experiments. The procedures to prepare experiments and to treat
the LiCl-KCl eutectic have been outlined. Characterisation of the treated salt has
also been included.
4. Predominance Diagrams 58
4. Predominance Diagrams
Predominance phase diagrams for metal-molten salt systems are diagrams of
potential vs. the negative logarithm of the activity of O2-
ions (E-pO2-
); they are a
valuable tool for predicting and understanding electrochemical systems and for
optimising process conditions. Here, predominance diagrams are produced for U,
Pu, Np, Am, Cm, Cs, Nd, Sm, Eu, Gd, Mo, Tc, Ru, Rh, Ag and Cd species, in both
LiCl-KCl at 500 ˚C and NaCl-KCl at 750 ˚C. The two salt eutectics were chosen as
they are the two main systems for pyroprocessing; temperatures were selected
within each salt’s normal operating range. All of the diagrams presented show
regions of stability for the different metal species, their oxides and chlorides at unit
activity; however, this activity can be altered in accordance with the equations
derived. Examples of selective electrochemical reduction are also demonstrated for
potential spent fuel reprocessing in both salt systems.
4.1 Introduction
Different process schemes and salts have been studied in pyroprocessing, most of
which have been summarised by the NEA [15]. There are currently two main
molten salt technology processes in existence, both using chloride salts as
electrolytes; one in the US at the Argonne National Laboratory (ANL) using LiCl-
KCl eutectic for metallic fuel in integral fast reactors (IFR), and one in Russia at
the Research Institute for Atomic Reactors (RIAR) using NaCl-KCl eutectic for
oxide fuel for the Fast Breeder Reactor (FBR) [16]. There have also been other
advances made in molten salt nuclear pyroprocesses in Europe and Japan [19-24].
Predominance diagrams (also known as Littlewood diagrams) were originally
developed by Littlewood in 1962 [129] to summarise thermodynamic
characteristics of metal-molten salt systems and are akin to Pourbaix diagrams,
which describe the behaviour of species in aqueous solutions. In Pourbaix
diagrams, the equilibrium potential is plotted against pH to show regions of
4. Predominance Diagrams 59
stability for a specific system [130]. Predominance diagrams show potential vs. the
negative logarithm of the activity of oxygen anions: the pO2-
.
The fundamental notion of predominance diagrams is to represent thermodynamic
data in a diagrammatic form. Data is converted to linear equations relating free
energies to logarithmic functions of material composition. The free energies of the
system are represented by potentials that are relative to the electrochemical
equilibrium between the salt’s anion and its elemental form, in chloride salts this is
the standard chlorine electrode. The composition variable is the negative logarithm
of the activity of the oxygen ions in the melt, pO2-
(analogous to pH). These
diagrams are very useful when studying complex metal-molten salt systems, such
as Li-K-U-O-Cl, as they describe the regions of stability and the pathways of the
system’s evolution at different equilibrium potentials.
The procedure for producing predominance diagrams is best described in the works
of Littlewood, Dring et al. and Brown et al. [129, 131, 132]. Predominance
diagrams have been developed for various systems [133-140], providing valuable
insight into the electrochemical processes of metals and their oxides in molten
salts. However, they are not flawlessly accurate. Fundamentally predominance
diagrams are only as accurate as the thermodynamic data used to create them, and
therefore they need to be validated experimentally, as reaction kinetics and surface
processes will have a dominant effect in defining reaction rate. Extensive work has
been performed to characterise the reduction of TiOx in CaCl2; this has been
compared with the predominance diagram produced by Dring et al. [131]. X-ray
diffraction analysis of the reduction process of TiOx at different stages has been
carried out by Schwandt and Fray, Wang and Li, and Bhagat et al. [47, 50, 141],
providing validation of processes predicted by the predominance diagram.
4. Predominance Diagrams 60
Table 4.1 - List of nuclides commonly considered in burn-up credit criticality analyses
(from NEA 2011) [142] and used as the basis for the systems examined here.
Nuclide
Half-life (years)
Content in spent UOX
PWR fuela (g/MTHM)
52 GWd/t at discharge
Relative importance rank
for 40 GWd/MTHM PWR
fuel – 5 years coolingb 234U 2.45105 143 24 235U 7.04108 6050 1 236U 2.34107 5650 11 238U 4.47109 927000 3 238Pu 87.74 372 22 239Pu 2.41104 5810 2 240Pu 6550 2840 4 241Pu 14.40 1820 5 242Pu 3.76105 1020 19 237Np 2.14106 811 14 241Am 432.60 228 10 243Am 7370 1.74 11 243Cmc 28.50 0.624 244Cmc 18.11 141 245Cmc 8532 11 133Cs Stable 1630 12 143Nd Stable 1070 7 145Nd Stable 989 17 147Sm 1.061011 196 20 149Sm 2.001015 3.36 6 150Sm Stable 446 23 151Sm 93 14.7 9 152Sm Stable 134 15 153Eu Stable 184 18 155Gd Stable 3.93 13 95Mo Stable 1180 21 99Tc 2.10105 1120 16 101Ru Stable 1210 26 103Rh Stable 540 8 109Ag Stable 119 25 113Cdc 9.101015 a
Measured content from ARIANE experimental programme data. b
Based on relative sensitivity coefficients from the Nuclear Regulatory
Commission (2008) [143]. c Important for MOX fuel only.
Another limitation is that there is no adequate experimental technique for keeping
the O2-
levels within a specified limit. Studies have looked at monitoring and
controlling the pO2-
in molten salts [144]; but this is difficult to implement in
practice, particularly on a larger scale. Rigorous salt preparation can reduce the O2-
ion concentration; however, once the reduction of a metal oxide proceeds, the
increase of O2-
concentration in the melt shifts the equilibrium potential. Also, the
4. Predominance Diagrams 61
degradation and the formation of pores on the working electrode can act to ‘trap’
O2-
ions, thus increasing the levels at the interface, changing the local equilibrium.
New reactor cell designs could prove useful here, such as the fluidised cathode
process, as it would help disperse the O2-
ions, and give the system more
homogeneity.
The nuclides commonly considered in burn-up credit analysis by the NEA [142]
are shown in Table 4.1. This also lists their half-lives, their content (in g per metric
tonne of heavy metal, g/MTHM) in uranium oxide (UOX) pressurised water
reactor (PWR) spent-fuel and their relative importance according to the NEA. The
different nuclides of uranium and plutonium are of highest importance, as their
content in spent-fuel is significant. All of these nuclides are classed as high-level
waste.
In this chapter, predominance diagrams are produced for spent nuclear materials in
LiCl-KCl eutectic at 500 ˚C, as is in use at the ANL, and NaCl-KCl eutectic at 750
˚C, as is in use at the RIAR. Each temperature was chosen to be within the salts’
common operating temperature ranges [16, 35].
4.2 Theory
To construct a predominance diagram, one needs to employ the following
equations and follow the subsequent steps. The Gibbs energy of formation of a
given reaction, ΔG, may be related to the electrochemical potential of the specific
cell, E, by Equations 4.1 (away from standard state) and 4.2 (standard state), and
by the Nernst Equation 4.3. In these equations, n is the moles of electrons
transferred in a reaction, F is Faraday’s constant (96485.4 C mol-1
), R is the
universal gas constant (8.314 J mol-1
K-1
), T is the operating temperature of the
molten salt in Kelvin, and Q is the reaction quotient, a function relating the
activities of the different chemical species involved in a chemical reaction.
∆𝐺𝑜 = −𝑛𝐹𝐸𝑜 4.1
∆𝐺 = −𝑛𝐹𝐸 4.2
𝐸 = 𝐸𝑜 −𝑅𝑇
𝑛𝐹𝑙𝑛𝑄 4.3
4. Predominance Diagrams 62
The potential window of the salt defines the bounds of the predominance diagram.
For example, in LiCl-KCl, Cl2 gas evolution defines the oxidative limit, and
formation of metallic Li or K defines the reductive limit. The oxidative limit (in
this example, the formation of Cl2) is assigned a Gibbs energy of formation of zero,
at all temperatures, to maintain a zero potential reference point. This is when the
Cl2 formed is at unit activity with the Cl- ions in the melt at one atmospheric partial
pressure. From this zero reference point, the regions of stability for the system
chosen extend to the reductive limit, the decomposition potential of the salt.
There are three types of equilibrium that define the thermodynamic regions of
stability for a specific species: one that does not involve transfer of electrons; one
that does not involve transfer of oxide anions; and one that depends on both
electron and oxide anions being transferred. Equations 4.4, 4.5 and 4.6 represent
the three kinds of equilibrium reactions, where M is metal. Using Equations 4.1,
4.2 and 4.3, the equations in terms of electrode potential, E, and pO2-
, for each
reaction can be derived, as seen in Equations 4.7, 4.8 and 4.9.
𝑀𝑂𝑦 + 2𝑦𝐶𝑙− ↔ 𝑀𝐶𝑙2𝑦 + 𝑦𝑂
2− 4.4
𝑀(𝑧+𝑛)+ + 𝑛𝑒− ↔ 𝑀𝑧+ 4.5
𝑀𝑂𝑥 + 𝑛𝑒− ↔ 𝑀𝑂𝑥−𝑦 + 𝑦𝑂
2− 4.6
𝑝𝑂2− =∆𝐺4.4
𝑜 +𝑅𝑇𝑙𝑛(𝑎𝑀𝐶𝑙2𝑦
𝑎𝑀𝑂𝑦)
𝑦𝑅𝑇𝑙𝑛10 4.7
𝐸4.5 =−∆𝐺4.5
𝑜
𝑛𝐹−𝑅𝑇
𝑛𝐹𝑙𝑛 (
𝑎𝑀𝑧
𝑎𝑀𝑧+𝑛) 4.8
𝐸4.6 =−∆𝐺4.6
𝑜
𝑛𝐹−𝑅𝑇
𝑛𝐹𝑙𝑛 (
𝑎𝑀𝑂𝑥−𝑦
𝑎𝑀𝑂𝑥) +
𝑦𝑅𝑇𝑙𝑛10
𝑛𝐹𝑝𝑂2− 4.9
All thermodynamic data used is presented in Table 4.2.
Predominance diagrams for metal-molten salt systems are generally divided into
three main regions of stability, where different species exist: one where the pure
4. Predominance Diagrams 63
metal exists, either in the salt solution or precipitated as a solid; one where the
metal is covered by an oxide layer or is fully oxidised, also as a solute in the liquid
salt or as a solid species; and one where the metal is in the form of a chloride,
liquid or gas [129]. This is illustrated in Figure 4.1.
Figure 4.1 - Example of the three main regions of stability in a predominance diagram
(based on a LiCl-KCl salt eutectic) and showing the nature of reactions leading to
horizontal, vertical and diagonal lines.
The limiting potentials for the salt, at any given partial pressure of chlorine gas,
and activity of liquid lithium metal and liquid potassium metal, may be calculated
according to their corresponding Nernst Equations 4.13, 4.14 and 4.15, for the half-
cell reactions presented in Equations 4.10, 4.11 and 4.12.
𝐶𝑙2 + 2𝑒− ↔ 2𝐶𝑙− 4.10
𝐿𝑖+ + 𝑒− ↔ 𝐿𝑖 4.11
𝐾+ + 𝑒− ↔ 𝐾 4.12
4. Predominance Diagrams 64
𝐸𝐶𝑙2 = 𝐸𝐶𝑙2𝑂 +
𝑅𝑇𝑙𝑛10
2𝐹log(
𝑃𝐶𝑙2−
𝑃𝐶𝑙2) 4.13
𝐸𝐿𝑖 = 𝐸𝐿𝑖𝑂 +
𝑅𝑇𝑙𝑛10
𝐹log(
𝑎𝐿𝑖+
𝑎𝐿𝑖) 4.14
𝐸𝐾 = 𝐸𝐾𝑂 +
𝑅𝑇𝑙𝑛10
𝐹log(
𝑎𝐾+
𝑎𝐾) 4.15
For the LiCl-KCl electrolyte at 500 ˚C, the potentials are solid horizontal lines at 0
V, -3.57 V and -3.76 V for the evolution of Cl2, Li and K respectively. The same
procedure was applied to the NaCl-KCl eutectic at 750 ˚C, and the potentials for
the evolution of Na and K were found to be -3.28 V and -3.52 V respectively.
The next step is to calculate the Gibbs energy of formation of an oxide ion in the
melt. There are two standard states for the oxide ion in the salt eutectic, these are
Li2O and K2O. Using ΔG˚ of Equations 4.11 and 4.12, and ΔG˚ of the following
half-cell reactions 4.16, 4.17 and 4.18, one can calculate the Gibbs energy of
formation for the O2-
ion.
2𝐿𝑖 +1
2𝑂2 ↔ 2𝐿𝑖+ + 𝑂2− 4.16
2𝐾 +1
2𝑂2 ↔ 2𝐾+ +𝑂2− 4.17
1
2𝑂2 + 2𝑒
− ↔ 𝑂2− 4.18
At 500 ˚C, the Gibbs energy of formation for O2-
from Li2O is +191.71 kJ mol-1
,
and that from K2O is +469.32 kJ mol-1
. The salt in this system is a LiCl-KCl
eutectic with a molar composition of 59-41 respectively. Therefore, the assumed
Gibbs energy of formation for the oxide ion at 500 ˚C in this system was calculated
as +305.56 kJ mol-1
. The same method was applied to the NaCl-KCl equimolar
system at 750 ˚C, and the Gibbs energy of formation for the oxide ion in the molten
salt was established to be +408.91 kJ mol-1
.
Moreover, oxygen anions are in equilibrium with the atmosphere. Using the Gibbs
energy of formation for O2-
and the Nernst equation, Equation 4.19 can be derived.
4. Predominance Diagrams 65
𝐸𝑂2− = 𝐸𝑂2−𝑜 +
𝑅𝑇𝑙𝑛10
4𝐹𝑙𝑜𝑔𝑃𝑂2 +
𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2− 4.19
This shows the relationship between the electrode potential as a function of
standard state potential, the oxygen gas partial pressure and the negative logarithm
of the oxide ion activity, pO2-
. It is depicted in the predominance diagram in Figure
4.2 as a series of diagonal dashed lines, showing several states of equilibrium
between oxygen gas and oxide ions at various O2 partial pressures. The information
from this diagram is useful for molten salt systems, where partial pressures of
oxygen are normally very low, as it shows the potentials at which O2 would be in
equilibrium with the melt. These lines can be derived for the NaCl-KCl eutectic
system following the same procedure. They can be superimposed onto the metal
phase diagrams; however, to aid visual interpretation this is not performed here.
Nonetheless, it is shown for uranium species, in Figure 4.9 and Figure 4.10.
Figure 4.2 - Predominance diagram for the Li-K-O-Cl system at 500 °C, illustrating
the relationship between oxygen pressure, oxide activity and potential, E, relative to
the standard chlorine electrode.
4. Predominance Diagrams 66
Table 4.2 - Gibbs energy of formation for nuclear materials at 500 °C and 750 °C.
Species
ΔGf0
(kJ mol-1)
at 500 ˚C
ΔGf0
(kJ mol-1)
at 750 ˚C Comments
References
LiCl (NaCl) -344.887 (-316.766)
[145-147]
Li2O (Na2O) -498.105 (-274.608)
[145, 148-152]
KCl -362.418 -339.473
[153, 154]
K2O -255.559 -220.057
[148, 149]
Li2UO4 (Na2UO4) -1662.680 (-1486.881) Extrapolated above 27 ˚C [151, 152, 155]
UO -477.980 -455.771 Extrapolated above 227 ˚C [156]
UO2 -950.563 -907.756
[149, 157]
U4O9 -3921.203 -3736.848
[149]
U3O8 -3055.659 -2896.089
[149]
UO3 -1023.699 -962.404
[145, 148, 149]
UCl2O -888.723 -837.432 Extrapolated above 527 ˚C [150, 155]
U2Cl5O2 -1796.568 -1677.069 Extrapolated above 427 ˚C [151]
UCl3 -692.619 -642.160
[151, 155]
UCl4 -794.542 -735.413
[145, 158]
Pu2O3 -1475.278 -1410.029
[148, 149]
PuO2 -908.526 -861.327
[148-150]
PuClO -806.625 -765.969
[155, 157]
PuCl3 -787.684 -733.376
[154, 155, 158]
Li2NpO6 (Na2NpO4) -1355.089 (-1346.466) Extrapolated above 27 ˚C [152]
NpO2 -938.781 -894.564
[149, 155]
Np2O5 -1822.103 -1709.164 Extrapolated above 527 ˚C [155]
NpCl3 -725.188 -670.084
[155, 157]
NpCl4 -758.434 -705.146 Extrapolated above 727 ˚C [155]
Am2O3 -1473.270 -1406.104
[155]
AmO2 -795.968 -756.153
[147, 155]
AmClO -817.211 -777.668
[155]
AmCl3 -795.282 -739.928 Extrapolated above 27 ˚C [155]
Cm2O3 -1430.229 -1328.186 Extrapolated above 27 ˚C [159]
CmO2 -748.492 -684.109 Extrapolated above 27 ˚C [159, 160]
CmClO -807.035 -744.292 Extrapolated above 27 ˚C [159]
CmCl3 -767.028 -683.871 Extrapolated above 27 ˚C [159]
Cs2O -242.961 -205.878
[148, 158]
Cs2O2 -283.880 -228.116
[148, 156, 158]
Cs2O3 -327.724 -259.383 Extrapolated above 427 ˚C [150]
CsO2 -173.900 -136.486 Extrapolated above 200 ˚C [151]
Nd2O3 -1587.405 -1519.064
[148, 149, 151]
4. Predominance Diagrams 67
NdO2 -696.669 -447.885 Extrapolated above 200 ˚C [161]
NdClO -855.745 -811.395
[145]
NdCl3 -852.695 -796.445
[151]
Sm2O3 -1597.552 -1524.838
[145, 149]
SmClO -861.226 -817.884 Extrapolated above 727 ˚C [151]
SmCl3 -838.055 -783.450
[145, 158]
EuO -513.126 -489.177
[148, 151, 158]
Eu2O3 -1409.857 -1335.566
[151]
EuClO -750.346 -703.088
[156]
EuCl3 -737.401 -683.034
[151, 158]
Gd2O3 -1615.765 -1545.666
[148, 157, 158]
GdClO -841.390 -797.533 Extrapolated above 727 ˚C [145, 147, 148]
GdCl3 -815.177 -765.475 Extrapolated above 727 ˚C [150, 158]
Li2MoO4 (Na2MoO4) -1232.046 (-1086.773)
[149, 151, 154,
162]
MoO2 -445.688 -402.174
[149, 152, 163]
MoO3 -547.974 -487.662
[145, 148, 149]
MoCl2O -357.355 -305.131
[147, 148]
MoCl2 -172.364 -136.825
[147, 148, 151]
MoCl5 -284.750 -223.078
[146, 158]
TcO2 -314.411 -270.073
[150, 156]
TcO3 -349.485 -300.478 Extrapolated above 127 ˚C [145]
Tc2O7 -738.443 -644.378 Extrapolated above 427 ˚C [149, 154]
TcCl3 -133.223 -88.864
[156]
RuO2 -172.921 -133.825
[150]
RuO4 -47.246 0.188 Extrapolated above 172 ˚C [151]
RuCl3 -54.551 -4.138 Extrapolated above 450 ˚C [150]
Rh2O -57.798 -47.534 Extrapolated above 727 ˚C [157]
RhO -31.229 -13.954
[157]
RhCl -40.413 -28.786
[156]
RhCl2 -65.752 -41.129
[156]
RhCl3 -92.650 -39.953
[150-152]
Ag2O 19.033 33.200
[147, 151, 159]
AgO 55.057 76.216 Extrapolated above 125 ˚C [160]
Ag2O3 286.073 386.987 Extrapolated above 125 ˚C [159]
AgCl -86.475 -80.450
[147, 151, 152]
CdO -181.481 -155.461
[151, 152, 157]
CdCl2 -270.663 -240.187
[147, 150]
4. Predominance Diagrams 68
The functions of the interface lines between the different regions of stability, for
each system, were derived using Reactions and Equations 4.4-4.9 and the
thermodynamic data presented in Table 2. These are all presented in Appendix B.
Pure liquid phases were assigned an activity of unity and pure gases were assigned
unit atmosphere partial pressure. The diagrams depict regions of stability for
species in solution and solid phases that would precipitate out, as well as liquid and
gas phases. These diagrams can also be altered, by changing the activity used and
conditions, which would shift the equilibria lines accordingly. For simplicity, unit
activities are shown here. The predominance diagrams for the spent nuclear fuel
materials in LiCl-KCl eutectic at 500 ˚C and NaCl-KCl eutectic at 750 ˚C are
presented in Figure 4.3, Figure 4.4, Figure 4.5 and Figure 4.6.
4.3 Results
Some of the general features of the predominance diagrams can be illustrated by
reference to the uranium system in Figure 4.3(a). Compounds with uranium at their
highest oxidation states are found in the upper regions of the diagram, at less
negative potentials. At very low oxide ion activities, on the right hand side of the
diagram, uranium chlorides (UCl3, UCl4) are formed. Uranium metal can be
extracted from these at less negative potentials compared to the reduction of UO2.
Since there is no transfer of O2-
ions in these reactions, from U4+
to U3+
and to U,
the resultant interline functions between these species’ regions of stability are
independent of pO2-
. Thus, the interfaces are represented as horizontal lines in the
predominance diagram.
Due to the stability of other compounds that could exist in the melt, there is an
intermediate region of stability between the oxides and the chlorides. This
intermediate region is the metal oxychloride form. In the case of uranium it is
UCl2O and U2Cl5O2. The interface between these two phases is a horizontal line, as
there is no transfer of O2-
occurring. The interfaces between the regions of stability
of the reactions from UO2 to UCl2O and to UCl4 are all vertical lines; hence, the
derived interface equations are independent of potential, as the ratio of U
4. Predominance Diagrams 69
molecules does not change. All the other equations for interface lines related to
UCl2O and U2Cl5O2 are dependent on both pO2-
and E, resulting in diagonal lines.
At high oxide ion activities, on the left hand side of the predominance diagram,
other types of uranium oxides are predicted to form. This is due to the oxide ions
reacting with lithium or potassium ions in the fused salt. In the case of uranium, the
first stable metal uranium oxide to form is Li2UO4, as presented in Figure 4.3(a).
For the electrochemical reduction of UOx to U metal, the reductive potential is very
negative and close to the salt’s decomposition potential. The diagram gives an
indication of the number of phases expected to appear, and the order they would
appear in, if UO3 were to be reduced. It can also be deduced that some compounds,
such as U3O7, UO and U4O9, have a very narrow band of stability, when reducing
the uranium oxide; thus, it is not very likely that traces of them will remain in the
final product, as is the case with TiOx [50].
The predominance diagrams for U in NaCl-KCl, and for Pu, Np, Am, Cm, Cs, Nd,
Sm, Eu, Gd, Mo, Tc, Ru, Rh, Ag and Cd, in both LiCl-KCl and NaCl-KCl, can be
interpreted in the same way as for U in LiCl-KCl. They are all presented in Figure
4.3(a-h), Figure 4.4(a-h) Figure 4.5(a-h) and Figure 4.6(a-h).
4. Predominance Diagrams 70
Figure 4.3 - Predominance diagrams of (a) U, (c) Pu, (e) Np, and (g) Am in LiCl-KCl
at 500 °C. (b) U, (d) Pu, (f) Np, and Am are in NaCl-KCl at 750 °C.
4. Predominance Diagrams 71
Figure 4.4 - Predominance diagrams of (a) Cm, (c) Cs, (e) Nd, and (g) Sm in LiCl-KCl
at 500 °C. (b) Cm, (d) Cs, (f) Nd, and Sm are in NaCl-KCl at 750 °C.
4. Predominance Diagrams 72
Figure 4.5 - Predominance diagrams of (a) Eu, (c) Gd, (e) Mo, and (g) Tc in LiCl-KCl
at 500 °C. (b) Eu, (d) Gd, (f) Mo, and Tc are in NaCl-KCl at 750 °C.
4. Predominance Diagrams 73
Figure 4.6 - Predominance diagrams of (a) Ru, (c) Rh, (e) Ag, and (g) Cd in LiCl-KCl
at 500 °C. (b) Ru, (d) Rh, (f) Ag, and Cd are in NaCl-KCl at 750 °C.
4. Predominance Diagrams 74
4.4 Discussion
The interface lines between the lowest oxidation state and the pure metal state are
of particular importance for electrochemical reduction and pyroprocessing, for
metal fuelled reactors; and the interface line between oxide states for oxide fuelled
reactors. From Figure 4.3, Figure 4.4, Figure 4.5 and Figure 4.6, it is evident that
the reduction of the transition metals, Rh, Ag, Ru, Tc, Cd and Mo, showed first, at
less negative potentials. Then, the reduction of U, Pu and the minor actinides, in
the order of U, Cs, Pu, Am, Np and Cm, at increasingly negative potentials.
Finally, the reduction of the lanthanides in order of increasingly negative potential:
Nd, Sm, Gd and Eu. These findings are encouraging, as the three different groups
are clearly divided, thus indicating that they can be selectively reduced and
separated from the spent-fuel. Separating Pu as a single species appears to be
challenging, this is an important non-proliferation feature.
From the predominance diagrams, it is also evident that some species have very
narrow bands of stability, and thus might not be observed experimentally, if the
metal oxides were to be reduced. This could be the case for U3O7, UO, U4O9,
Np2O5, Cs2O2, MoCl2O, TcO3 and RhCl2.
4.4.1 Comparison of eutectics
It is noticeable from the predominance diagrams that for all spent fuel materials,
the region of stability for the pure metal phase is larger in the LiCl-KCl eutectic,
than in the NaCl-KCl eutectic, even though the temperature is lower, 500 ˚C and
750 ˚C respectively. The final reduction stage from oxide to metal also appears to
be possible at higher O2-
ion activities in LiCl-KCl compared to NaCl-KCl. Thus, it
seems that the use of LiCl-KCl for molten salt pyroprocessing is more favourable
than NaCl-KCl. However, this is purely based on thermodynamics and higher
temperatures are likely to benefit from faster kinetics.
4.4.2 Selective electro-reduction
Selective direct reduction is when there is a mixture of different metal oxides and
only one, or a subset of them, are selectively reduced and separated via
electroplating. This can be very beneficial in the nuclear industry, to enable the
4. Predominance Diagrams 75
reprocessing and recycling of the useful spent fuel products selectively and
separately, and also prevents nuclear proliferation. Thus, it is important to
understand how control of electrode potential affects spent fuel products in a
molten salt reprocessing reactor; comprehensive predominance diagrams are a
starting point for such analyses.
One instance where the possibility of selective electro-reduction is not desired is
for U and Pu. This is for anti-proliferation reasons. The predominance diagrams for
Pu are superimposed onto those for U, in LiCl-KCl and NaCl-KCl, Figure 4.7. The
main region of interest is the interface lines where the reduction from the lowest
oxide state to the pure metal phase occurs (e.g. from -3 V and 10 pO2-
to -3.5 V and
11 pO2-
in Figure 4.7(a)). As seen in Figure 4.7, these boundary lines for the U and
the Pu systems are very close to each other. Thus, it would be challenging to
selectively reduce one of them exclusively. From Figure 4.7 it is evident that the
uranium oxide reduction to uranium metal would occur first.
In principle, the use of predominance diagrams to aid the understanding of the
feasibility of selective electro-reduction can be applied to all spent-fuel products, in
order to understand the reduction procedure that they would undergo if they were
all placed in a molten salt reprocessing reactor. Within each group, transition
metals, actinides and lanthanides, difficulties are apparent in the partial reduction
of a single species. In the transition metals group, partial reduction is the most
likely to be achieved, with the exception of Cd and Mo, as their reduction interlines
are too close to each other. In the actinides group, it is more difficult to perform
partial reduction, Np being the exception. It is the most difficult to carry out partial
direct reductions in the lanthanides group.
4. Predominance Diagrams 76
Figure 4.7 - Predominance diagrams of U and Pu species. (a) in LiCl-KCl at 500 °C,
(b) in NaCl-KCl at 750 °C.
An example of where selective direct reduction would be useful is for Am and Cm:
this is to mimic the EXAm [164] process in solvent extraction nuclear
reprocessing. Am and Cm are both high heat emitters; however, Cm has a short
half-life, ~ 18 years, and thus, it is not economically viable to reprocess it, as
storage options would be cheaper. By contrast, it is desirable to reprocess and
recycle Am. The predominance diagrams for Cm are superimposed onto those for
Am, in LiCl-KCl and NaCl-KCl, Figure 4.8. From the predominance diagrams, it is
evident that selective electro-reduction would be difficult for these two species due
to the similarity in reduction potential. However, in this instance, the use of NaCl-
KCl eutectic melt as the electrolyte is more favourable as the potentials for
reduction of the two species form a larger window.
Figure 4.8 - Predominance diagrams of Am and Cm species. (a) in LiCl-KCl at 500 °C,
(b) in NaCl-KCl at 750 °C.
4. Predominance Diagrams 77
4.4.3 Effect of temperature
Temperature is an important parameter that affects the stability zones. At higher
temperatures the regions of stability are shifted to the ‘left’, at higher O2-
activity,
where oxide reduction reactions occur; however, at higher temperatures, the
potential window is smaller. Figure 4.9 and Figure 4.10 present predominance
diagrams for uranium species in LiCl-KCl eutectic at 500 °C and 800 °C
respectively. When comparing the two diagrams, one can clearly see the effects of
temperature on the regions of stability. An interesting feature is also the
disappearance of the stability band for UO entirely at the higher temperature,
indicating that what could be a very fast 2 step 4-electron transfer process from
UO2 to U becomes a one step process.
From a design point of view, processes at lower temperatures are favourable, as
heat requirements would be lower, also, the materials designated for reactor
vessels, sealing, handling and maintenance are more practical at lower
temperatures. Thus, provided that the fused salt is treated and O2-
levels are kept
minimal, it is constructive to keep the operating temperatures low. These processes
are also possible at lower temperatures as shown in Figure 4.9.
4.5 Conclusions
Predominance diagrams are useful tools for understanding the electrochemistry and
phase stability of metal-oxide systems in molten salts. They help in predicting
experimental results and give a good indication of whether an electrochemical
process is thermodynamically feasible. Predominance diagrams have been
generated for the range of spent nuclear fuel materials, based on established
thermodynamic properties of the materials published in the literature.
By superimposing the diagrams for U and Pu, and Am and Cm onto each other, the
potential for selective electro-reduction can be determined and the most suitable
molten salt and temperature selected. It was found that molten salt pyroprocessing
provides a promising route for reprocessing nuclear materials, which is also
proliferation resistant. However, the approach is not seen to be a replacement for
the EXAm process, as the selective reduction and separation of Am species from
Cm would be challenging due to similarity in reduction potential.
4. Predominance Diagrams 78
Figure 4.9 - Predominance diagram for the Li-K-U-O-Cl system at 500 °C.
Figure 4.10 - Predominance diagram for the Li-K-U-O-Cl system at 800 °C.
5. The Electrochemical Reduction of Tungsten Oxide 79
5. The Electrochemical Reduction of Tungsten Oxide
The electrochemical reduction of WO3 to W metal using a fluidised cathode
process was investigated. Voltammetry studies were conducted, and alongside a
predominance diagram that was constructed, the reaction path-way was studied.
The main reduction potential appeared to be -2.14 V. A complete reduction,
through applying constant voltage, was achieved with a Faradaic current efficiency
of ~ 82%. The metal product is in the form of particles, either deposited on the
electrode surface or settled at the bottom of the crucible. The effects of metal oxide
– salt ratio and of fluidisation rate on the process were also investigated. Higher
loading of metal oxide particles resulted in an increase in the rate of deposit
growth, and in a decrease in particle-current collector collision-reaction spikes. An
increase in fluidisation rate resulted in an increase in both rate of growth of deposit,
as well as collision-reaction noise.
5.1 Introduction
Tungsten has many applications because of its physical and chemical properties
[165]; this has sparked renewed interest in its production in the U.K. recently.
Tungsten ore is usually extracted then converted to WO3, which is in turn reduced
to W metal by hydrogen and heating. This process is time and energy intensive
[166]. The electrochemical reduction route might prove to be viable for the
production of pure tungsten. Studies on the electrochemical reduction of tungsten
oxide in molten salts have been published [167-169], mainly for the production of
metal alloys [59, 170]. The precursors were porous solids in the form of pellets.
This Chapter reports on the current efficiency and the investigation of different
characteristics that affect the fluidised cathode process, using a model system of
tungsten oxide and LiCl-KCl molten salt eutectic.
5. The Electrochemical Reduction of Tungsten Oxide 80
5.2 Experimental
5.2.1 Apparatus
A schematic of the electrolytic cell used is illustrated in Figure 3.13(b). The
cathode consists of WO3 particles that are suspended in the molten salt (LiCl-KCl)
eutectic, and a pure tungsten rod current collector. The anode is a graphite rod
separated in its own compartment to avoid reoxidation of the reduced tungsten
particles; the anode compartment has an opening at the top to allow for gases to
escape. The melt is agitated via a flow of argon. A reference electrode (Ag/Ag+)
was used, and the temperature was monitored via a thermocouple that is immersed
in the melt. All electrochemical tests were performed using a potentiostat
(IviumStat, Ivium Technologies, NL).
The same set-up was used to carry out the thin film experiments. However, no
WO3 particles were employed, the counter electrode was not separated inside a
compartment, no argon was bubbled through the melt, and the current collector was
replaced with a thin film cathode, Figure 3.13(a).
5.2.2 Chemicals
All preparation steps were carried out under a sealed argon atmosphere. Anhydrous
lithium chloride (ACS reagent, ≥99.0% purity, Sigma-Aldrich) and potassium
chloride (≥99.5% purity, Sigma-Aldrich) were used for the electrolyte. The salt
was dried in a vacuum oven at 200 ˚C for 24 h, then 150 g of 59-41 mol% LiCl-
KCl were mixed with WO3 (99.9% purity, Alfa Aesar). Particle size distribution
measurements, Figure 5.1, were conducted using a Beckman Coulter LS13320
laser diffraction particle size analyser. Figure 5.2 shows the x-ray diffraction
pattern of the as-received WO3 powder. 15 g of LiCl-KCl was placed inside the
anode compartment. The counter electrode was a high density graphite rod, 3.05
mm in diameter (99.9995% metal basis, Alfa Aesar). The working electrode
(current collector) was a tungsten rod, 1.5 mm in diameter (99.95% metal basis,
Alfa Aesar). A glass sheath around the shaft of the tungsten rod ensured that a
constant surface area of electrode is exposed to the electrolyte, even when being
5. The Electrochemical Reduction of Tungsten Oxide 81
agitated by the Ar stream. Argon (99.998% purity, BOC) was bubbled through the
melt via a ceramic tube (5 mm internal diameter, Alsint).
For the thin film experiments, the electrolyte was composed of 150 g of LiCl-KCl,
prepared in the same way as for the fluidised cathode setup, but no WO3 particles
were used. The working electrode was thermally oxidised in air at a temperature
ramp rate of 250 ˚C h-1
, then held at 700 ˚C for 2 h.
Figure 5.1 - Average particle size distribution of WO3 powder in terms of volume
percentage, also showing the maximum size distribution and the minimum, with a
standard deviation of 2. Mean particle diameter: 30.9 μm, median particle diameter:
29.5 μm.
5. The Electrochemical Reduction of Tungsten Oxide 82
Figure 5.2 - X-ray diffraction spectrum (Mo Kα) of as-received WO3 powder sample,
showing WO3 (1620-ICSD [171]).
5.2.3 Procedure
Experiments were carried out under a dry argon atmosphere at a melt temperature
of 450 ˚C (unless indicated otherwise). Argon was bubbled into the melt, which
resulted in a homogeneous distribution of particles as assessed by visual inspection.
The current collector, 4 cm length (area of 3.84 cm2), was immersed in the melt
during the fluidised cathode measurements, and 2 cm length (area of 1.96 cm2)
during the thin film measurements. However, absolute currents are reported due to
the fact that the electrode surface area changes during experiments.
5.3 Results and discussion
A predominance diagram, Chapter 4, was constructed for the Li-K-W-O-Cl system,
relating the potential E vs. standard chlorine electrode (S.Cl.E) to the negative
logarithm of O2-
ions activity, pO2-
. All the thermodynamic data used for the
5. The Electrochemical Reduction of Tungsten Oxide 83
production of the diagram is presented in Table 5.1, and the derived interface
equations are presented in Appendix C. A predominance diagram for tungsten
species in CaCl has been published [59]; however, this is the first in LiCl-KCl
eutectic.
Table 5.1 - Gibbs energy of formation at 500 °C for species in the Li-K-W-O-Cl
system.
Species ΔG0f at 500 ˚C
(kJ mol-1)
References
WO2 -447.23 [149, 150, 163]
WO3 -641.66 [150]
WCl2O2 -586.35 [146, 147]
WCl2 -165.85 [146, 147, 150]
WCl4 -237.11 [146, 150]
LiCl -344.89 [145, 147, 163]
Li2O -498.11 [145, 148, 149]
KCl -362.42 [153, 154]
K2O -255.56 [148, 149]
The predominance diagram in Figure 5.3 shows the different regions of stability for
different compounds and oxidation states of tungsten. Thermodynamically, one can
deduce that the concentration of O2-
ions in the eutectic melt does not hinder the
reduction process of WO3 to W. However, it affects the reaction pathway. Starting
with WO3, two reduction reactions take place to produce W metal. These are
presented in Equations 5.1 and 5.2. Equations 5.3 and 5.4 are used to calculate the
potential, E, needed for each reaction to take place, at different values of O2-
ion
activity.
𝑊𝑂3 + 2𝑒− ↔𝑊𝑂2 + 𝑂
2− 5.1
𝑊𝑂2 + 4𝑒− ↔𝑊 + 2𝑂2− 5.2
𝐸5.1 =−∆𝐺5.1
0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2− 5.3
𝐸5.2 =−∆𝐺5.2
0
4𝐹+2𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2− 5.4
5. The Electrochemical Reduction of Tungsten Oxide 84
Figure 5.3 - Predominance diagram for the Li-K-W-O-Cl system at 500 °C.
The bands of potentials and pO2-
values are presented in Table 5.2. When
comparing features in the predominance diagram, such as the evolution of Li or
Cl2, with when they appear in the cyclic voltammogram in Figure 3.17, the
difference in potential between the Ag/Ag+ reference electrode and the S.Cl.E is
1.136 V. The potentials needed for the proceeding of Equations 5.1 and 5.2, with
respect to Ag/Ag+, are also presented in Table 5.2.
Table 5.2 - Thermodynamically calculated values of pO2-
and potentials required for
Equations 5.1, 5.2, 5.6 and 5.7 to take place.
Reaction pO2- E (V vs. S.Cl.E) E (V vs. Ag/Ag+)
5.1 0.000 – 24.411 -2.591 – -0.721 -1.455 – +0.415
5.2 0.000 – 24.575 -2.740 ̶ -0.860 -1.604 – +0.276
5. The Electrochemical Reduction of Tungsten Oxide 85
Voltammetry measurements were performed on a thermally grown thin film of
WO3 electrode set-up and a fluidised cathode set-up, Figure 5.4 (a) and (b)
respectively. Both were scanned from 0 V to -2.7 V, and back to 0 V (vs. Ag/Ag+
reference electrode). The peaks at 2 represent the reduction of Li+, and at 3
represent its reoxidation. The smaller peaks appearing after 3 in the positive
direction represent the reoxidation of W to WOx. The peaks at 1 represent the main
reduction step in Equation 5.5.
𝑊𝑂3 + 6𝑒− ↔𝑊 + 3𝑂2− 5.5
When comparing these two peaks in Figure 5.4 (a) and (b), one can see that the
peak in (b) is shifted slightly to the right, and appears at -2.14 V, before peak 1 in
(a) which appears at -2.21 V, as indicated by the dashed vertical lines in the
diagrams. This is due to the nature of the fluidised cathode process, which provides
less resistance. For an electrochemical reaction, a 3PI needs to be present for it to
occur. In a molten salt system, this is the current collector (conductor), the fused
salt (electrolyte) and the metal oxide (insulator). A 3PI is instantly initiated at the
collision point of a particle with the current collector in the fluidised cathode
process, thus the reaction extends from this point. In the case of a thin film, there is
an insulating sheath of oxide covering the electrode surface, and therefore it is
harder for the reaction to take place, resulting in more driving force being required,
a higher overpotential. The same is true for peak 2.
5. The Electrochemical Reduction of Tungsten Oxide 86
Figure 5.4 - (a) Cyclic voltammogram of WO3 thin film cathode in LiCl-KCl eutectic
at 450 °C, scan rate: 50 mV s-1
, reference electrode: Ag/Ag+. (b) Cyclic voltammogram
of WO3 fluidised cathode in LiCl-KCl eutectic at 450 °C, scan rate 50 mV s-1
,
reference electrode: Ag/Ag+.
5. The Electrochemical Reduction of Tungsten Oxide 87
Figure 5.5 - Cyclic voltammogram of WO3 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, scan rate: 50 mV s-1
, and reference electrode: Ag/Ag+.
Looking closer at the voltammetry of the fluidised cathode system, scanned from 0
V to -2.5 V and back to 0 V, Figure 5.5, provides a better understanding of the
process. The main reduction peak appears at -2.14 V again. The apparent ‘noise’ or
peaks in the voltammetry are due to particle-current collector collisions and
reactions. One can see that the collision-reaction features are only evident at
voltages where WO3 can be reduced; indicating that the reoxidation to WOx is
primarily a surface process involving W on the surface and not as a result of
reduced W particles colliding and reacting with the electrode. Looking closely at
the cyclic voltammogram, one can see that the electrochemical reaction proceeds
from actually -1.13 V, the noise in the diagram is also indicative of this. When
comparing the voltages involved with the thermodynamically calculated ones and
the predominance diagram, it suggests that the process starts with an
electrochemical reaction, Equation 5.1, which produces WO2. This then proceeds
to reduce electrochemically to W metal in a 4-electron-transfer step, Equation 5.2.
5. The Electrochemical Reduction of Tungsten Oxide 88
Usually, an electrochemical reduction process progresses vertically down the
predominance diagram; however, in reality it is much more complicated than that,
and it normally propagates to the left and down as the reactions resume. Previous
studies [55, 58, 59] where solid precursors have been removed from the melt mid-
reduction and analysed have shown that; in the case of tungsten reduction seems to
occur directly from WO3 to WO2 to W metal; and in the case of titanium reduction,
the perovskite CaTiO3 is formed in much smaller quantities than predicted by
predominance diagrams, at the beginning of the reduction process. This is due to
the fact that predominance diagrams fail to take into account the kinetics of
processes and the overpotentials involved in refractory metal production.
Figure 5.6 - Chronoamperogram of WO3 fluidised cathode in LiCl-KCl eutectic at 450
°C, 40 g WO3, argon flow rate: 800 cm3 min
-1, set voltage: -2.14 V, reference electrode
Ag/Ag+. 1 - 4: diagrammatic representation showing the evolution of the cathode's
surface area over time.
5. The Electrochemical Reduction of Tungsten Oxide 89
Figure 5.7 - (a) Photographs of current collector before the reduction process, 1, and
after, 2, (b) photograph of the solidified melt showing separate layers of WO3 and W.
Constant potential of -2.14 V, as identified as the reducing potential, (vs. Ag/Ag+
reference electrode) was applied to the fluidised cathode system, Figure 5.6, this
time 40 g of WO3 powder was fluidised. In previous studies [47, 50, 52, 170]
potentials in the range of 2 – 3 V were normally applied for such metal oxide
reduction processes. As time passed, the current increased due to an increase in the
electrode surface area and the deposit growth of W on the current collector surface,
as illustrated in Figure 5.6 (1-2). This growth is visible through the glass
electrolytic cell set-up. At (2) in Figure 5.6, there is a rapid reduction in current
associated with spalling off of the deposit from the electrode. New growth is then
associated with the increase in the current (3-4).
Due to the difference in densities, when the electrolyte is left to solidify, different
layers of materials form, Figure 5.7 (b). Dark metallic tungsten metal sinks to the
bottom, followed by a layer of green, still to be reduced, tungsten oxide, and finally
a layer of LiCl-KCl eutectic. This represents a potentially simple means of
separating the product in a technological system. Figure 5.7 (a) shows an image of
the current collector before, 1, and after the reduction, 2.
There are two areas from where the final product could be collected, the bottom of
the cell crucible, Figure 5.7 (b), and on the surface of the working electrode, Figure
5.7 (a). Samples from both were analysed using SEM and EDS (Carl Zeiss
5. The Electrochemical Reduction of Tungsten Oxide 90
XB1540, accelerating voltage = 20.00 kV, dwell time = 1.6 min). In the EDS
spectrum of the deposit’s surface on the working electrode, Figure 5.8, no oxygen
was detected. However, there is some salt present. Figure 5.9 (a) shows an SEM
image of the as-received WO3 particles and (b) that of the W product from the
solidified melt. No oxygen was detected in the EDS spectrum of the surface of the
W product.
A cross-section of the retrieved current collector, where the deposit did not spall
off, Figure 5.10, shows that the growth is cylindrical in shape, i.e. it forms at the
same rate perpendicular to the current collector surface in all directions. When
zoomed in, Figure 5.11, the particles of W metal produced appear homogeneous in
size and porosity.
Figure 5.8 - (a) EDS spectrum of the deposit on the current collector's surface. (b)
Photograph of the working electrode after the chronoamperometry showing the
deposited W. (c) SEM image of the cross-section of the solid W working electrode, 2,
and the deposit grown, 1.
5. The Electrochemical Reduction of Tungsten Oxide 91
Figure 5.9 – SEM image of the as-received WO3 particles, and (b) product W obtained
from the solidified melt as a separate layer to the LiCl-KCl. EDS spectra (penetration
depth ~6 μm) showed the stoichiometric composition of WO3 in (a), and the absence of
oxygen in (b).
5. The Electrochemical Reduction of Tungsten Oxide 92
Figure 5.10 - SEM image of the cross-section of the current collector showing the
deposited tungsten.
Figure 5.11 - SEM images of the current collector and deposit, at different
magnitudes, showing the homogeneity of reduced deposit.
5. The Electrochemical Reduction of Tungsten Oxide 93
5.3.1 Current efficiency
A constant potential of -2.14 V (vs. Ag/Ag+) was applied to the fluidised
cathode set-up to reduce 4 g of WO3 to W metal, Figure 5.12. The
chronoamperogram shows a similar trend to previously published work on
electrochemical reduction of metal oxides [58], where the diagram can be
segregated into two main sections; the first, where rapid reduction reactions
occur and the current increases significantly until it reduces; the second,
where the current increases slightly again, then plateaus and slower
reactions take place to reduce the final oxides, until the current decreases
indicative of the end of the process and the production of pure metal.
Assuming 100% current efficiency, it would require a charge of 9977.5 C to
be applied to fully reduce all 4 g of WO3. The XRD spectrum of the final
product, retrieved from the deposit on the current collector, is presented in
Figure 5.13. It shows the spectra of W and KCl. Most importantly, the
analyses show that there is no WO3, WO2 or any other quasi-reduced
species. Thus, it confirms that the reduction reaction can reach completion
with pure W being the product. The Faradaic efficiency of the process was
calculated by dividing the theoretical charge required by the charge passed.
The charge passed was calculated by adding the actual charge passed to an
assumed charge that would be passed given that the chronoamperometry
was allowed to reach zero potential. Experiments concluded that the current
efficiency for reducing WO3 to W in LiCl-KCl using the fluidised cathode
process is ~ 82%. The current efficiency was also calculated by subtracting
the background current as estimated from the pre-electrolysis, this was 4.3
mA, as presented in Figure 5.12(b). This reduces the errors from the
estimated extended current, and gives a new current efficiency of 100%.
Thus the current efficiency is 82-100%
When the final product was retrieved, a sample was placed in ethanol to
dissolve the salt, under an argon atmosphere. Dissolving the salt in water
5. The Electrochemical Reduction of Tungsten Oxide 94
was not appropriate in this case, as W, unlike Ti, reacts more readily with
water (and air) forming thin films of oxides, which was not desired for
analysis. After leaving the sample in ethanol for 24 hr, the ethanol
containing salt was filtered out using a small vacuum filtration unit. The
sample (powder) was then placed in ethanol again, and the procedure was
repeated twice. Finally, the product was dried in a vacuum oven at room
temperature. Despite this rigorous cleaning process, the XRD spectrum in
Fig. 12 confirms that KCl is still present in the sample. A solution to this
could be to employ a vacuum distillation [172, 173] unit at a high
temperature to remove the salt whilst still molten. The nature of the
fluidised cathode would complement such a filtration technique.
Figure 5.12 - Chronoamperogram of WO3 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, 4 g WO3, argon flow rate: 800 cm3 min
-1, reference electrode: Ag/Ag
+, set
voltage: -2.135 V.
5. The Electrochemical Reduction of Tungsten Oxide 95
Figure 5.13 – X-ray diffraction spectrum (Mo Kα) of sample of product after complete
reduction, showing W (52344-ICSD [174]), and KCl (165593-ICSD [127]).
5.3.2 Effects of metal oxide – salt ratio
Constant potential experiments were carried out on different loadings of WO3
powder in LiCl-KCl salt eutectic. The voltage was again set to -2.14 V, Figure
5.14. Three chronoamperometry measurements were taken. Masses of WO3 (0.5,
40 and 60 g) were initially mixed with 150 g of LiCl-KCl in the main cell crucible,
with 10 g in the anode compartment, giving weight percentages of 0.312, 20.00 and
27.27 wt%, for the three different experiments. 0.5 g was chosen, as this was the
lowest limit at which some product could still be retrieved from the current
collector. 60 g was chosen, as this was the highest limit, given the ratio to 150 g of
salt, where the fluidisation process was still easily initiated. Although masses of up
to 100 g of WO3 could still be fluidised, they proved difficult for fluidisation
initiation and maintaining via gas bubbling.
The chronoamperograms show the same characteristic of an initial increase in
current. However, they all stabilise towards different currents, with the lowest
weight percentage achieving a lower current, than the higher weight percentage
5. The Electrochemical Reduction of Tungsten Oxide 96
experiments. Spalling-off is also witnessed, with associated sudden drops in
currents passed. The effect of metal oxide concentration in the melt on the
electrochemistry is attributed to the fact that statistically there are more frequent
interactions of particles with the electrode for a system with higher loading, thus
giving a higher total current. The difference in change in current with time is more
intriguing. The high oxide concentration leads to a monotonic increase in current
with time, while the lower concentrations show more signs of product spalling,
evident through the abrupt decrease in current. This would suggest that the product
is more stable in the high concentration case, allowing growth to continue and the
electrode to grow. At higher loadings the bulk density of the materials in the
reaction crucible is higher, which would hinder the current collector from vibrating
heavily, due to mechanical agitation via bubbling and collisions, which also
contributes to the spalling effect.
Figure 5.14 - Chronoamperograms of WO3 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, argon flow rate: 800 cm3 min
-1, reference electrode: Ag/Ag
+, set voltage: -2.14
V, for different weight percentages of WO3 in the melt, as indicated.
5. The Electrochemical Reduction of Tungsten Oxide 97
Figure 5.15 - Count of charge per spike relative to a normalised line of best fit, at
different WO3 – LiCl-KCl eutectic ratios. Where, (a) is at 0.312 wt% WO3, (b) 20.00
wt%, and (c) 27.27 wt%.
Figure 5.15 shows the count of charge per spike relative to a normalised line of
best fit for the chronoamperograms in Figure 5.14. 2500 points for each WO3
concentration were used to produce the data. It is very clear that with higher
concentrations the spike amplitude is much smaller. The increasing noise with the
decreasing oxide particle fraction is also attributed to the greater particle
homogeneity in the melt leading to a steadier current response. Thus, the noise
feature in the fluidised cathode process is attributed to the velocity (how long a
particle stays on the surface) with which the particles collide with the current
collector, rather than the number of particles impinging at any given point,
although each spike corresponds to more than one particle colliding.
5.3.3 Effects of fluidisation rate
Different argon flow rates were applied to the fluidised cathode process whilst
conducting a constant voltage experiment. Figure 5.16 shows the
chronoamperogram of the fluidised cathode under different agitation conditions.
The reducing potential was set to -2.14 V and the fluidisation rate was altered by
changing the argon flow rates from 200 cm3 min
-1 to a maximum of 1800 cm
3 min
-
1, and back to 200 cm
3 min
-1. It was increased by 200 cm
3 min
-1 every 5 minutes.
As time passed, the current increased, at each argon flow rate; again this is due to
an increase in the surface area of the current collector. It is evident that increasing
5. The Electrochemical Reduction of Tungsten Oxide 98
the agitation rate causes the current to increase more rapidly, and makes the
collision-reaction spikes (noise) greater. This indicates that a higher fluidisation
rate increases the likelihood of an encounter of an oxide particle with the electrode,
and will also increase the kinetic energy of particle collision with the electrode.
These effects are particularly acute above a threshold agitation level induced by an
argon flow rate of 1600 cm3
min-1
. In fluidised bed chemical engineering, there are
two main types of fluidisation regimes, depending on many parameters, but mainly
the superficial velocity of the fluid, the fluidisation regime can change from a
‘particulate’ to an ‘aggregative’ regime. This could be the explanation for such an
obvious change in the chronoamperommetry measurements. Further studies should
be conducted on the fluidisation regimes and their parameters, identification and
outcomes, to help understand the complexity of this system with three phases of
flow (including changes in density and other parameters, when electrochemical
alterations are applied).
Figure 5.17 shows the count of charge per spike relative to a line of best fit for the
chronoamperogram in Figure 5.16. Three hundred points for each argon flow rate
were used to plot the data. Here, one can clearly see that in the case of lower flow
rates the spikes are much smaller and lie toward the lower end of the charge per
spike spectrum. The opposite is true for higher agitation rates. This complements
the theory that the noise feature in the fluidised cathode process is a result of higher
impact velocity/kinetic energy. Thus, the effects of altering the fluidisation rates
are in agreement with metal oxide loading effects. Higher frequencies of collision-
reactions are responsible for electrode growth and current increase; and higher
impact velocities are responsible for higher noise, and ultimately spalling effects.
5. The Electrochemical Reduction of Tungsten Oxide 99
Figure 5.16 - Chronoamperogram of WO3 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, 40 g WO3, reference electrode: Ag/Ag+, set voltage: -2.14 V, showing the effect
of different argon flow rates bubbled through the melt.
Figure 5.17 - Count of charge per spike relative to line of best fit, at different argon
flow rates. Where, (a) is at 200 cm3 min
-1, (b) 400 cm
3 min
-1, (c) 600 cm
3 min
-1, (d) 800
cm3 min
-1, (e) 1000 cm
3 min
-1, (f) 1200 cm
3 min
-1, (g) 1400 cm
3 min
-1, (h) 1600 cm
3 min
-
1, and (i) 1800 cm
3 min
-1.
5. The Electrochemical Reduction of Tungsten Oxide 100
5.3.4 Particle coulometric analysis
Particle coulometric analysis [175-178] was carried out on a section of 200 spikes
from the chronoamperometry in Figure 5.18 to characterise the particle-electrode
interaction dynamics. This section is presented in Figure 5.18 (b). Figure 5.19 (a)
shows the relative frequency of spike durations. The modal spike duration time is
0.4 s with a standard deviation of 0.2. Using Equation 5.10, the charge per spike
was calculated. This is presented in Figure 5.19 (b). The modal charge per spike is
-0.2 C with a standard deviation of 0.1.
𝑄 = ∫ 𝐼𝑑𝑡 = 𝑒𝑧𝑁 5.10
Where I is the current, t the spike duration, e the electronic charge = 1.602 10-19
C, z = 6 (the number of transferred electrons per reduced formula unit of WO3),
and N is the number of reduced WO3 units.
Assuming each spike on the chronoamperogram is only associated with one
particle impacting on the current collector, and that the particles are spherical in
shape, and fully reduced, Equation 5.11 can be used to estimate the size of the WO3
particles colliding with the working electrode, via cathodic coulometry.
𝑟 = √3𝑀𝑄
4𝜋𝑒𝑁𝐴𝑧𝜌
3 5.11
Where r is the radius of the WO3 particles, M = 231.84 g mol-1
(the molar mass of
WO3), NA = 6.022 1023
mol-1
(the Avogadro constant), = 7.16 g cm-3
(the
density of WO3).
5. The Electrochemical Reduction of Tungsten Oxide 101
Figure 5.18 - (a) Chronoamperogram of WO3 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, 40 g WO3, reference electrode: Ag/Ag+, set voltage: -2.14 V, (b) zoom-in of a
section containing 200 spikes used for coulometric analysis.
Figure 5.19 - (a) Relative frequency of spike durations in Figure 5.18 (b) from
coulometric analysis. (b) Count of charge per spike from coulometric analysis.
5. The Electrochemical Reduction of Tungsten Oxide 102
Figure 5.20 - (a) Count of radii sizes of WO3 reactant particles from particle
coulommetry analysis. (b) SEM image of a large WO3 particle.
Figure 5.20 (a) shows the count of radii sizes as estimated from particle
coulometry. The mean radius size of WO3 is 154.5 μm with a standard deviation of
17. An SEM image of a large WO3 particle is shown in Figure 5.20 (b).
Particle size distribution analysis, Figure 5.1, showed that the actual mean particle
radius size is 15.41 μm. This discrepancy in results is expected because in the
literature, particle coulometry was used to predict the size of nano particles
impending on electrodes, whereas in the fluidised cathode system, where diffusion
of particles (in the micro scale) is enhanced via agitation of the melt, more than one
particle would be expected to collide with the current collector at any given stretch
of 0.2 s. Nonetheless, particle coulometry still provides a valuable understanding of
the system, as it concludes that on average, given the conditions applied in the
chronoampergram in Figure 5.18, a number of particles that amount to the size of
one spherical particle of 154.5 μm would impenge on the current collector at any
time band of 0.2 s and be fully reduced.
5. The Electrochemical Reduction of Tungsten Oxide 103
5.3.5 Electrochemical deposition model
An electrochemical deposition model for the fluidised cathode process was
developed in order to estimate the rate of growth of the deposit on the working
electrode, and the porosity characteristic of the deposit.
Assuming that the current density is constant across the entirety of the electrode at
different extents of reaction, the current, i, is related to the molar accumulation
over a given time, N(t), by Equation 5.12.
𝑖 = 𝑛𝐹𝑑
𝑑𝑡𝑁(𝑡) 5.12
Where, n is the number of moles and F is the Faraday constant.
Figure 5.21 – Schematic showing parameters of the current collector and the deposit
used in the electrochemical deposition model.
The volume deposited, V(t), is represented in Equation 5.13, and in terms of radii in
Equation 5.14, assuming the deposit is cylindrical in shape, perpendicular to the
5. The Electrochemical Reduction of Tungsten Oxide 104
current collector surface, Figure 5.21, which is in fact the case, as shown in Figure
5.10.
𝑉(𝑡) = 𝑁(𝑡)𝑀
𝜌 5.13
𝑉(𝑡) = 𝜋[𝑟(𝑡)2 − 𝑟02]𝐿 5.14
Where, M is the molar mass, is the density, 𝑟0 is the initial radius of the
electrode, r(t) is the radius after time, t, and L is the active length of the electrode.
Combining Equations 5.12, 5.13 and 5.14, Equations 5.15 and 5.16 can be derived.
𝑑
𝑑𝑡𝑟(𝑡)2 =
𝑖𝑀
𝜋𝐿𝑛𝐹𝜌= 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡𝑘 5.15
𝑟(𝑡) = √𝑘𝑡 + 𝑟02 5.16
Figure 5.23 is a plot of the electrochemical deposition model, with data (current)
acquired from the chronoamperommetry in Figure 5.22. It shows the evolution of
the working electrode’s radius size as time passes. With a starting radius of 0.75
mm, the model depicts that the final radius size after the electrolysis process is 1.90
mm. the size of this particular electrode was measured after experimentation with
no observed spalling off of the product, however, and was ~ 5.00 mm. This can be
attributed to a few reasons, such as the deposition morphology. Thus, the model as
it stands is not conclusive. Hence a more comprehensive deposition model should
be developed.
5. The Electrochemical Reduction of Tungsten Oxide 105
Figure 5.22 - Chronoamperogram of WO3 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, 40 g WO3, argon flow rate: 800 cm3 min
-1, reference electrode: Ag/Ag
+, set
voltage: -2.14 V.
Figure 5.23 – Deposit growth on current collector over time, predicted via
electrochemical deposition model.
5. The Electrochemical Reduction of Tungsten Oxide 106
5.4 Conclusions
The electrochemical reduction of WO3 to W metal has been assessed, and it likely
to occur following the reactions WO3 → WO2 → W, Equations 5.1 and 5.2. A full
reduction using the fluidised cathode process, with complete conversion of the
product to W has been achieved, via applying a constant potential of -2.14 V. The
Faradaic current efficiency of the process has been established, and found to be ~
82%. The reduction process is split into two sections; the first where rapid
reduction of WO3 occurs, the second where a slower reduction of the remaining
oxides in the product are removed. The deposited material on the current collector
is in the form of homogeneously distributed particles.
Increasing the metal oxide – salt ratio results in increasing current (faster deposit
growth on the current collector), and decreasing collision-reaction noise, and in
less likelihood for product to spall off. Increasing the fluidisation rate of the
process results in an increase in the rate of deposit growth, as well as a greater
collision-reaction noise. The two main observations to take from this are:
a. The deposit growth, and ultimately the current increase, is dependent on
the frequency of particle – current collector collisions and reactions.
b. The collision-reaction noise (spikes) is dependent on the velocity at which
the particles collide with the current collector. Spalling of the product is
also highly affected by this.
Thus, depending on the desired means of recovery of the product, i.e. a continuous
flow retrieving or batch via removal of electrodes, these conditions can be altered
to suit.
Particle coulometric analysis shed some insight onto the process in terms of total
volume of particles impending on the current collector at any given time. An
electrochemical deposition model was also developed to estimate the porosity of
the deposit and the rate of its growth over time.
5. The Electrochemical Reduction of Tungsten Oxide 107
The fluidised cathode is a robust, three-phase, high efficiency process. It has been
studied here for the electrochemical reduction of tungsten oxide, however, it is
likely applicable for other refractory metals (such as titanium), and in the nuclear
industry for pyroprocessing purposes of spent nuclear materials.
In the following Chapter, the electrochemical reduction of UO2 to U metal is
investigated, the reaction pathways determined, and the fluidised cathode process is
used for the reduction process.
6. The Electrochemical Reduction of Uranium Oxide 108
6. The Electrochemical Reduction of Uranium Oxide
The electrochemical reduction of UO2 to U metal using a fluidised cathode process
was investigated. Voltammetry studies were conducted, and alongside a
predominance diagram that was constructed, the reaction path-way was studied,
using both, a fluidised cathode process and a packed metallic cavity electrode
precursor set-up. The route that the reduction process follows depends on pO2-
and
potential, which is highly influenced by the type of metal oxide precursor used.
The main reduction potential using the fluidised cathode appeared to be -2.2 V (vs.
Ag/Ag+ reference electrode). A Faradaic current efficiency for the process was
established, and found to be ~ 92%. It is proposed that the reduction process is split
into three stages; the first where a seeding process takes place at a low potential to
allow for the reduced uranium particles to be deposited onto the tungsten current
collector; the second where rapid reduction of UO2 particles occurs with a growth
in electrode size, accompanied by an increase in current total being passed; the
third where a slower reduction of the remaining oxides in the product takes place.
6.1 Introduction
High temperature molten salt reprocessing technology (pyroprocessing) offers a
range of advantages when compared to aqueous reprocessing techniques. This is
due to the fact that the technology is inherently ‘safe’ as it is resistant to
proliferation and does not provide an environment for criticality accidents to occur;
it also utilises compact easily accessible facilities. Molten salts pyroprocessing is
described in more detail in Chapter 2.
There is a clear motivation for implementing Generation IV nuclear reactors, which
require metal as start-up fuel and follow a fully integrated and safe reactor and
reprocessing design arrangements; hence, advances in the technology are made. A
conceptual flowsheet for the pyrochemical treatment of used LWR fuel, as
described by ANL [179], is presented in Figure 6.1. The spent nuclear fuel, in the
6. The Electrochemical Reduction of Uranium Oxide 109
form of oxide pellets, is chopped and then passed on to an electrolytic reduction
step. The uranium is in the form of UO2; hence, the reduction of UO2 to U metal is
studied in this Chapter. The reduced species are then processed in an electrorefiner,
also described in Chapter 2, where U product and other transuranic species are
recovered for enriching and recycling into new fuel. The flowsheet comprises some
recycling streams and a salt distillation step as well.
Previous studies on the electrochemical reduction of spent nuclear fuel oxides and
uranium oxides are reported in detail in Chapter 2. In this Chapter, the
electrochemical reduction of UO2 to U metal in LiCl-KCl molten salt eutectic is
investigated, using both metallic cavity electrodes (MCE’s) and the fluidised
cathode process. The reduction pathways and the current efficiency are also
reported.
Figure 6.1 – Conceptual flowsheet for the treatment of used LWR fuel [179].
6. The Electrochemical Reduction of Uranium Oxide 110
6.2 Experimental
6.2.1 Apparatus
A schematic of the electrolytic cell used is illustrated in Figure 3.13 (b). The
cathode consists of UO2 particles that are suspended in the molten salt (LiCl-KCl)
eutectic, and a pure tungsten rod current collector. The anode is a graphite rod
separated in its own compartment to avoid reoxidation of the reduced uranium
particles. The melt is agitated via a flow of argon. A reference electrode (Ag/Ag+)
was used, and the temperature was monitored via a thermocouple that is immersed
in the melt. All electrochemical tests were performed using a potentiostat
(IviumStat, Ivium Technologies, NL).
The same set-up was used to carry out the metallic cavity electrode (MCE)
experiments, Chapter 3. However, no UO2 particles were employed, the counter
electrode was not separated inside a compartment, no argon was bubbled through
the melt, and the current collector was replaced with an MCE, Figure 3.13 (a). The
cavities in the MCE were filled with UO2 powder. The same powder was used for
the fluidised cathode experiments.
6.2.2 Chemicals
All preparation steps were carried out under a sealed argon atmosphere. Anhydrous
lithium chloride (ACS reagent, ≥99.0% purity, Sigma-Aldrich) and potassium
chloride (≥99.5% purity, Sigma-Aldrich) were used for the electrolyte. The salt
was dried in a vacuum oven at 200 ˚C for 24 h, then 150 g of 59-41 mol% LiCl-
KCl were mixed with UO2 (as received from the Centre for Radiochemistry
Research, School of Chemistry, University of Manchester). Figure 6.2 shows the
X-ray diffraction pattern of the as-received UO2 powder. 15 g of LiCl-KCl was
placed inside the anode compartment. The counter electrode was a high density
graphite rod, 3.05 mm in diameter (99.9995% metal basis, Alfa Aesar). The
working electrode (current collector) was a tungsten rod, 1.5 mm in diameter
(99.95% metal basis, Alfa Aesar). A glass sheath around the shaft of the tungsten
rod insured that a constant surface area of electrode is exposed to the electrolyte,
6. The Electrochemical Reduction of Uranium Oxide 111
even when being agitated by the Ar stream. Argon (99.998% purity, BOC) was
bubbled through the melt via a ceramic tube (5 mm internal diameter, Alsint).
For the MCE experiments, the electrolyte was composed of 150 g of LiCl-KCl,
prepared in the same way as for the fluidised cathode setup, but no UO2 particles
were agitated in the melt. The cavities in the working electrode were filled with
UO2 powder by ‘finger pressing’ using two glass slides.
Figure 6.2 - X-ray diffraction spectrum (Mo Kα) of as-received UO2 powder sample,
showing UO2 (35204-ICSD [180]).
6.2.3 Procedure
Experiments were carried out under a dry argon atmosphere at a melt temperature
of 450 ˚C (unless indicated otherwise). Argon was bubbled into the melt, which
resulted in a homogeneous distribution of particles as assessed by visual inspection.
4 cm (3.84 cm2) of the current collector was immersed in the melt during the
fluidised cathode measurements, and all the holes in the MCE, making sure that the
6. The Electrochemical Reduction of Uranium Oxide 112
Mo wire and W rod stayed outside the melt. Absolute currents are reported due to
the fact that the electrode surface area changes during experiments.
6.3 Results and discussion
A predominance diagram, Chapter 4, was constructed for the Li-K-U-O-Cl system,
relating the potential E vs. standard chlorine electrode (S.Cl.E) to the negative
logarithm of O2-
ion activity, pO2-
. All the thermodynamic data used for the
production of the diagram is presented in Table 4.2, and the derived interface
equations are presented in Appendix B. A predominance diagram for uranium
species in LiCl-KCl has been published [181]; however, it did not consider all the
stable species that can form, and the thermodynamic data has been revised and
updated since.
The predominance diagram in Figure 4.9 shows the different regions of stability for
different compounds and oxidation states of uranium. Thermodynamically, one can
deduce that the concentration of O2-
ions in the eutectic melt greatly affects the
reduction process of UO2 to U metal. Starting with UO2, two reduction reactions
take place to produce U metal, according to the predominance diagram at 500 °C.
These are presented in Equations 6.1 and 6.2. Equations 6.3 and 6.4 are used to
calculate the potential, E, needed for each reaction to take place, at different values
of O2-
ion activity.
𝑈𝑂2 + 2𝑒− ↔ 𝑈𝑂 + 𝑂2− 6.1
𝑈𝑂 + 2𝑒− ↔ 𝑈 + 𝑂2− 6.2
𝐸6.1 =−∆𝐺6.1
0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2− 6.3
𝐸6.2 =−∆𝐺6.2
0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2− 6.4
The pO2-
ranges and potential bands (vs. S.Cl.E and Ag/Ag+ references electrode)
are presented in
Table 6.1, for the reactions described in Equations 6.1 and 6.2.
6. The Electrochemical Reduction of Uranium Oxide 113
Table 6.1 - Thermodynamically calculated values of pO2-
and potentials required for
Equations 6.1 and 6.2 to take place.
Reaction pO2- E (V vs. S.Cl.E) E (V vs. Ag/Ag+)
6.1 6.200 – 21.650 -3.558 ̶ -2.374 -2.422 – -1.238
6.2 6.500 – 21.750 -3.562 ̶ -2.394 -2.426 – -1.258
Cyclic voltammetry measurements were performed on an MCE molybdenum
electrode packed with UO2 powder; this is presented in Figure 6.3. It was scanned
from 0 V to -2.5 V, and back to 0 V (vs. Ag/Ag+ reference electrode). The coupled
redox potentials at 1, 2, 1’ and 2’ represent the reduction of a thin film of oxide on
the MCE molybdenum strip and its reoxidation. The redox pair A and A’ are
attributed to the reduction of UO2 to U metal, and its reoxidation to UOx (as it was
not confirmed what the oxidised species was via analysis), as shown in the overall
reaction described in Equation 6.5. This is in line with previous results [182].
𝑈𝑂2 + 4𝑒− ↔ 𝑈 + 2𝑂2− 6.5
Figure 6.4 shows cyclic voltammograms conducted on an MCE molybdenum
electrode packed with UO2 powder. These were scanned from 0 V to -2.5 V and
back to 0 V, at a variety of scan rates, as indicated in the diagram. Again, the redox
couple A and A’ are attributed to the reduction of UO2 to U metal, and its
reoxidation to UOx, as described in Equation 6.5. The reduction potential appears
to be very close to the salt’s decomposition potential; hence, indicating a high O2-
ion activity. As expected, at higher scan rates the reaction peaks are more
predominant.
6. The Electrochemical Reduction of Uranium Oxide 114
Figure 6.3 - Cyclic voltammogram of UO2 in molybdenum metallic cavity electrode in
LiCl-KCl eutectic at 450 ˚C, scan rate: 20 mV s-1
, reference electrode: Ag/Ag+.
Figure 6.4 - Cyclic voltammograms of UO2 in molybdenum metallic cavity electrode,
at different scan rates, in LiCl-KCl eutectic at 450 ˚C, reference electrode: Ag/Ag+ (A
newly packed MCE was used for each scan).
6. The Electrochemical Reduction of Uranium Oxide 115
Figure 6.5 – Cyclic voltammetry of UO2 fluidised cathode in LiCl-KCl eutectic at 450
°C, 5 g UO2, argon flow rate: 600 cm3 min
-1, reference electrode: Ag/Ag
+.
Voltammetry measurements were performed on a fluidised cathode set-up, Figure
6.5. It was scanned from 0 V to -2.4 V, and back to 0 V (vs. Ag/Ag+ reference
electrode). The combination of the peaks at A and A’ represent the overall
reduction of UO2 to U metal as described by Equation 6.5. The peak at A’’
represents the reoxidation of U to UOx.
When comparing the voltammograms in Figure 6.5 (fluidised cathode) and Figure
6.3 (MCE), one can see that both peaks A and A’ appear earlier in the negative
direction, at ~ -1.7 V and ~ -2.2 V, in Figure 6.5, when compared to peak A in
Figure 6.3, which appears at ~ -2.4 V. This is due to the dynamic nature of the
fluidised cathode set-up. In the fluidise cathode process, a 3PI is immediately
initiated at the collision point of an oxide particle with the current collector, and a
reaction extends from this point. When using an MCE, the 3PI is defined at the
circumference of the packed metal oxide, where it meets the metal strip current
collector and the salt. This 3PI decreases as the reaction proceeds. Thus, in an
MCE set-up more driving force is required than when using a fluidised cathode
process, a higher overpotential. It is also likely that when using MCE’s that the
local O2-
ion concentration is higher.
6. The Electrochemical Reduction of Uranium Oxide 116
Looking at the voltammogram in Figure 6.5 one can deduce that the reduction
starts quite early on at ~ -1.7 V and then concludes at ~ -2.2 V. This suggests that
using the fluidised cathode process both reactions, Equation 6.1 and 6.2, take place.
Thus, the reduction follows two reactions with 2-electron transfer step processes,
rather than the usual one 4-electron transfer step reaction (which could also be two
reactions with 2-electron transfer step processes that take place rapidly after one
another and thus appearing as one). Previous studies [183, 184] suggest that UO
can exist in equilibrium in the presence of other uranium oxide states. Using the
voltammetry information from Figure 6.3 and Figure 6.5, the reaction pathway for
the reduction of UO2 to U has been plotted on the predominance diagram in Figure
6.6, showing both the potential (vs. S.Cl.E) and the O2-
ion activity, as the reaction
evolves. One can see that the activity of O2-
using the fluidised cathode process is
generally lower. Also, it varies as the reaction proceeds, due to the fact that the
reaction lasts for a longer time.
Figure 6.6 - Predominance diagram for the Li-K-U-O-Cl system at 500 °C, showing
the reaction pathway for the reduction of UO2 to U in LiCl-KCl using a fluidised
cathode process and a metallic cavity electrode (MCE).
6. The Electrochemical Reduction of Uranium Oxide 117
A constant potential of -2.2 V (vs. Ag/Ag+ reference electrode), as identified as the
reducing potential, was applied to the fluidised cathode system, Figure 6.7, 5 g of
UO2 powder was fluidised. As time passed, the current increased due to an increase
in the electrode surface area and the deposit growth of U on the current collector
surface. This growth is visible through the glass electrolytic cell set-up. At about
90,000 s, there is a rapid reduction in current associated with spalling off of the
deposit from the electrode. New growth is then associated with the increase in the
current, a similar characteristic of the process as seen for the reduction of WO3
[70].
When comparing the chronoamperogram to that for the reduction of tungsten
oxide, Figure 5.6, one can see that it takes a longer time for the electrode to start
growing, observed as an increase in the current. It is possible that a ‘seeding’ effect
whereby uranium metal takes some time to be deposited on the current collector.
This is possibly due to the fact that the current collector is made from a different
metal from that in the melt, compared with the all-tungsten system which did not
have this induction period.
Due to the difference in densities, when the electrolyte is left to solidify, different
layers of materials form, Figure 6.8 (c). Dark metallic uranium metal sinks to the
bottom, followed by a layer of black, still to be reduced, uranium oxide, and finally
a layer of LiCl-KCl eutectic (due to the similarity in appearance of U and UO2, it
was difficult to capture a clear edge between them). This could possibly provide a
simple means of separation in a technological system, as is the case with tungsten.
Figure 6.8 (a) shows an image of the current collector after the reduction has taken
place, and Figure 6.8 (b) shows an image of the cross-section of the reduced U
metal at the bottom of the reactor crucible.
6. The Electrochemical Reduction of Uranium Oxide 118
Figure 6.7 - Chronoamperogram of UO2 fluidised cathode in LiCl-KCl eutectic at 450
°C, 5 g UO2, argon flow rate: 600 cm3 min
-1, set voltage: -2.2 V, reference electrode
Ag/Ag+.
Figure 6.8 – (a) Photograph of reduced uranium deposited on tungsten working
electrode, (b) photograph of the cross-section of the uranium product at the bottom of
the crucible, (c) photograph of the solidified product, showing two separate layers of
salt and uranium metal.
6. The Electrochemical Reduction of Uranium Oxide 119
Figure 6.9 – SEM images of (a) the as-received UO2 particles, and (b) product U
obtained from the solidified melt as a separate layer to the LiCl-KCl.
There are two areas from where the final product could be collected, the bottom of
the cell crucible and on the surface of the working electrode. Figure 6.9 (a) shows
an SEM image of the as-received UO2 particles and (b) an SEM image of the U
metal product from the solidified melt. From the SEM images one can see that the
UO2 powder is very fine with particle sizes of ~1 μm, whereas the U product is in
the form of agglomerated particles forming a larger particle size fused with some
salt. Here, the use of vacuum distillation to separate the final product from the salt
would be beneficial.
6.3.1 Current efficiency
To establish the current efficiency of the process, a constant potential of -2.2 V (vs.
Ag/Ag+ reference electrode) was applied to the fluidised cathode set-up to reduce 4
g of UO2 to U metal, Figure 6.10. The chronoamperogram shows a similar trend to
previously published work on electrochemical reduction of metal oxides [58],
where the diagram can be segregated into two main stages; the first, where rapid
reduction reactions occur and the current increases significantly. In the second
stage, the current increases slightly again, then plateaus and slower reactions take
place to reduce the final oxides, until the current decreases indicative of the batch
reaction tending towards completion. Again, in Figure 6.10, one notices the
6. The Electrochemical Reduction of Uranium Oxide 120
seeding time for the U particles to be deposited on the tungsten rod, as it takes time
for the electrode to start growing and the current to increase subsequently.
Assuming 100% current efficiency, it would require a charge of 5717.59 C to be
applied to fully reduce all 4 g of UO2. The final product retrieved from the
electrode’s surface was analysed via XRD, Figure 6.11. The spectrum shows the
spectra of KCl, and peaks associated with α-U. Most importantly, it shows that
there is no sign of any uranium oxide species, namely UO2 or UO. Thus, it
confirms that complete conversion is possible via the fluidised cathode
electrochemical process (in this case, unreacted oxide particles were presumably in
the solidified melt). Calculating an accurate Faradaic efficiency is challenging due
to various issues. To estimate the current efficiency, the curve toward the end of
the chronoamperometry, Figure 6.10, was extended to reach zero current,
estimating a constant gradient calculated from two points in the graph (7.52 × 105, -
6.10 × 10-3
and 8.64 × 105, -5.60 × 10
-3). The x-intercept was found to be 2.375 ×
106 s. The extended line was integrated to calculate the area, the hypothetical
charge passed, which was found to be 4566.24 C. This was added to the actual
charge passed, 1290 C, giving a total of 6230.10 C. The Faradaic efficiency of the
process was calculated by dividing the theoretical charge by the charge passed
(actual and hypothetical). Experiment concluded that the estimated current
efficiency for reducing UO2 to U in LiCl-KCl using the fluidised cathode process is
~ 92%. However, this is a very rough value, that would probably vary a lot.
When the final product was retrieved, a sample was placed in ethanol to dissolve
the salt, under an argon atmosphere, to avoid any reoxidation via reaction with air
or water, which was not desired for analysis. After leaving the sample in ethanol
for 24 hr, the ethanol containing salt was filtered out using a small vacuum
filtration unit. The sample (powder) was then placed in ethanol again, and the
procedure was repeated twice. Finally, the product was dried in a vacuum oven at
room temperature until dry. Despite this rigorous cleaning process, the XRD
spectrum in Figure 6.11 confirms that some KCl is still present in the sample. A
solution to this could be to employ vacuum distillation [172, 173] at high
temperature to remove the salt whilst still molten. The nature of the fluidised
cathode would complement such a filtration technique.
6. The Electrochemical Reduction of Uranium Oxide 121
Figure 6.10 - Chronoamperogram of UO2 fluidised cathode in LiCl-KCl eutectic at
450 ˚C, 4 g UO2, argon flow rate: 600 cm3 min
-1, reference electrode: Ag/Ag
+, set
voltage: -2.2 V.
Figure 6.11 - X-ray diffraction spectrum (Mo Kα) of sample of product after complete
reduction, showing peaks for α-U (43419-ICSD [185]), and KCl (165593-ICSD [127]).
6. The Electrochemical Reduction of Uranium Oxide 122
6.4 Conclusions
The electrochemical reduction of UO2 to U metal has been assessed, and it is likely
to take place following two different reaction mechanisms; Equation 6.5, via a 4-
electron transfer step reaction; and Equations 6.1 and 6.2, via two 2-electron step
reactions. The route the reduction process follows depends on pO2-
and potential,
which is highly influenced by the type of metal oxide precursor used, MCE packed
electrode or a fluidised cathode.
The Faradaic current efficiency of the process has been estimated, via applying a
constant potential of -2.2 V, as identified by voltammetry measurements, and found
to be ~92%. The reduction process is split into three sections; the first where a
seeding process takes place at a low potential to allow for the reduced uranium
particles to be deposited onto the tungsten current collector; the second where rapid
reduction of UO2 particles occurs with a growth in electrode size accompanied by
an increase in current being passed; the third where a slower reduction of the
remaining oxides in the product occurs. The reduced product can be collected from
two areas; the deposit of the current collector and the bottom of the reactor
crucible.
The fluidised cathode is a robust, three-phase, high efficiency process. It has been
studied here for the electrochemical reduction of UO2; however, it might be
applicable for other spent fuel oxides (such as UO3 and PuO2), and in the
production of refractory metals, such as titanium. Further studies need to be
undertaken to validate this.
7. Conclusions and Future Work 123
7. Conclusions and Future Work
The aim of this research was to develop the understanding of spent nuclear
materials behaviour in molten salts, via thermodynamic and electrochemical
techniques, and to investigate electrochemical reduction processes from oxides to
metals, which can prove to be significant in future generation IV nuclear power
plants. New reactor designs are investigated as well, to improve the efficiency of
such processes. The main findings and suggested future work are summarised in
the Chapter.
7.1 Conclusions
7.1.1 Predominance Diagrams
Predominance phase diagrams for metal-molten salt systems are diagrams relating
the potential to the negative logarithm of the O2-
ion activity (E-pO2-
). They are a
useful tool for understanding the phase stability and electrochemistry of metal-
oxide systems in molten salts. They assist in predicting reaction pathways and
experimental results. They also give a good indication of whether a reaction is
feasible in a molten salt system.
Diagrams were produced for the range of spent nuclear materials (based on the
content of PWR MOX spent fuel). Thus, for U, Pu, Np, Am, Cm, Cs, Nd, Sm, Eu,
Gd, Mo, Tc, Ru, Rh, Ag and Cd species. The diagrams were constructed for two
salt systems; LiCl-KCl at 500 °C and NaCl-KCl at 750 °C. The two salt systems
were chosen as they are the two main systems used for pyroprocessing research by
ANL and RIAR, respectively. The temperatures were chosen within each salt’s
operating range.
All of the diagrams show regions of stability for the different metal species, their
oxides and chlorides at unit activity; nonetheless, the activity can be changed in
accordance to the equations that were derived.
7. Conclusions and Future Work 124
The potential for selective direct reduction was also studied by superimposing the
diagrams of U and Pu, and Am and Cm onto each other, for both salt systems at the
two different temperatures. From the diagrams it was found that molten salt
pyroprocessing provides a valuable route for the reprocessing of nuclear materials
that is also resistant to proliferation, as it shows that it would be very challenging to
separate Pu from U. However, the approach is not seen to be a replacement for the
EXAm process, as the selective reduction and separation of Am from Cm would
also be challenging due to the similarity in reduction potential. The effect of
changing the operating temperature of the same salt system on the stability regions
was also examined. At higher temperatures, the stability zones are shifted to the
‘left’, at higher O2-
ion activities; however, at higher temperatures, the potential
window of the salt is smaller.
7.1.2 The electrochemical reduction of tungsten oxide
The electrochemical reduction of WO3 to W metal has been assessed, and is likely
to occur following the reaction mechanism WO3 → WO2 → W. A full reduction
using the fluidised cathode process was achieved, with complete conversion of the
product to W, as established via XRD analysis, by applying a constant potential of
-2.14 V. The Faradaic efficiency of the process was found to be ~ 82%. The
reduction process is split into two sections; the first where rapid reduction occurs,
and the second where a slower reduction of the remaining tungsten oxide particles
takes place. The product can be collected from the deposit on the current collector
and the bottom of the reaction crucible, and is in the form of homogenously
distributed particles.
Parameters, such as the fluidisation rate and the metal oxide – salt ratio, that affect
the fluidised cathode process were investigated. Experiments concluded that
increasing the fluidisation rate of the process results in an increase in the rate of
deposit growth, as well as a greater collision-reaction noise. Whilst increasing the
metal oxide – salt ratio results in increasing the rate at which the deposit growth
(and hence, the current), but in decreasing the collision-reaction noise, and thus,
decreasing the likelihood of product spall off. Therefore, the two main observations
from investigating these two parameters are: a) the deposit growth, and the current
7. Conclusions and Future Work 125
increase, are dependent on the frequency of particle – current collector collisions
and reactions; b) the collision-reaction noise is dependent on the kinetic energy at
which the particles collide with the current collector (spalling off of the product is
highly related to this). Thus depending on the desired means of product recovery,
e.g. a contentious flow retrieving or batch via the removal of electrodes, these
conditions can be altered to suit.
Particle coulometric analyses has been carried out, which shed insight into the
process in terms of total volume of particles impending on the current collector and
being reduced at any given time. An electrochemical deposition model was also
developed to estimate the porosity of the deposited product on the current collector,
and the rate of its growth over time.
7.1.3 The electrochemical reduction of uranium oxide
The electrochemical reduction of UO2 to U metal was studied, and it is likely to
occur following two different reaction mechanisms; two 2-electron transfer
reactions from UO2 → UO → U, or one 4-electron reaction from UO2 → U. The
pathway for the reactions depends highly on the pO2-
and the potential, which is
greatly influenced by the type of uranium oxide precursor used; a fluidised cathode
or a packed MCE. Using the fluidised cathode provides a much larger potential
range at which the reduction reactions can occur.
The Faradaic efficiency of the reduction process using the fluidised cathode
method was estimated, via applying a constant potential of -2.2 V and extrapolating
the final decay to zero current, this was found to be ~ 92%. This process is inexact
and requires refinement of our ability to measure the converted product with
accuracy. An oxygen content analyser (LECO, St Joseph, MI, USA) would be very
beneficial to get accurate readings.
The reduction process is split into three stages; the first, contrary to reducing WO3
particles, involves an induction period, where low current is passed; this proposed
to be due to a ‘seeding’ step where a U layer is formed on the tungsten current
collector, onto which further reduction is more favourable. The second stage
involves rapid reduction of UO2 particles, as observed by the increase of current
(and growth of deposit on the current collector). The third stage shows a slower
7. Conclusions and Future Work 126
reduction of the remaining uranium oxide particles as the reactant oxide is
exhausted. The reduced U product can, as is the case with tungsten, be collected
from the deposit on the current collector and the bottom of reactor crucible.
The fluidised cathode process is a robust three-dimensional, high efficiency
process. It also has other advantages, such as shortening the FFC process scheme,
with associated cost reductions, and the flexibility of deciding whether to apply it
for a contentious or a batch system. It has been studied for the electrochemical
reduction of WO3 and UO2 to their pure metal forms; however, it is likely
applicable for other spent oxide fuel materials (such as UO3 and PuO2), and in the
production of other refractory metals, such as titanium and tantalum.
7.2 Future work
7.2.1 Three dimensional microstructural analyses
Three dimensional microstructural analyses [186-191] of the deposit on the current
collector, using techniques such as X-ray computed tomography (X-ray CT) or
FIB/SEM, would be very beneficial, as it would provide parameters, such as the
porosity, for the electrochemical deposition model. This would be very useful for
defining different parameters for experiments, especially if a batch process was to
be employed, as this would help in defining the final electrode size with the
product deposit to be retrieved.
7.2.2 Single particle reduction analyses
Studying how a single particle of metal oxide would reduce and attach to the
current collector would be very interesting. Factors such as particle size and
geometry could be changed and investigated. Using techniques such as non-
destructive X-ray tomography and high speed filming, effects such as the change in
particle morphology via the reduction reaction and the ‘necking’ of the particle to
the current collector surface can be analysed.
7. Conclusions and Future Work 127
Figure 0.1 – Experimental set-up for single particle reduction studies.
An experimental set-up for single particles studies has been designed, and is
presented in Figure 0.1. Here, a tungsten rod is covered in a Pyrex sheath, which
then widens, only exposing the top of the electrode, into a narrow well, where the
electrolyte and the particles to be reduced can be placed. The top of the well is
sealed with a suba-seal through which a graphite anode is pushed and immersed
into the fused salt. The exposed tungsten rod from the bottom and the graphite rod
at the top are connected to potentiostat leads, so that electrochemical experiments
can be carried out. The salt would be melted using an infrared laser, which based
on lab trial experiments is sufficient to reach desired temperatures.
7.2.3 ABBIS process
The ABBIS (Abdulaziz, Brett, Brown, Inman, Shearing) process is described in the
schematic shown in Figure 0.2. This is a concept that is an advancement of the
fluidised cathode process that aims to simplify it and make it more robust. Here,
the anode is a metal paste (potentially carbon or platinum) that is painted on the
outside of a crucible made of a suitable ion conductor. The idea is that the oxide
particles inside this crucible are reduced, whilst being agitated, and the O2-
ions
created via the reduction process would migrate through the salt melt and the ion
conductor and react with the anode on the outside, creating O2.
7. Conclusions and Future Work 128
This process would benefit from simpler reactor design, easier retrieval of final
product, and possibly the reusability of the anode without degrading it. Foreseen
challenges include the use of an appropriate oxide ion conductor (that operates at a
relatively low temperature), molten salt electrolyte, temperature of process, pO2-
of
the melt, and metal oxide to be reduced. Nonetheless, there is a large amount of
literature to help in the design process, especially in choosing the right ion
conductor and metal-oxide system for the desired parameters [192, 193].
Figure 0.2 – Schematic for ABBIS process (with LiCl-KCl eutectic as an example).
7. Conclusions and Future Work 129
7.2.4 Micro-electrode studies
It would be very beneficial to carry out studies on the fluidised cathode system
using micro-electrodes for molten salts [194, 195]. Using different salts and metal
oxides, these electrodes would be very beneficial in determining the types of
reactions that occur; reversible, quasi or non-reversible, when reducing a metal
oxide, as the reaction propagate downwards on a predominance diagram. This
would also help indicating whether activities of certain species change, thus
shifting equilibria, and ultimately result in making amendments to thermodynamic
predictions.
7.2.5 TRISO fuel pyroprocessing
Tristructural-isotropic (TRISO) fuel, the schematic of which is presented in Figure
0.3, is a micro particle fuel designed to be used in Generation VI very-high-
temperature reactors (VHTRs). It consists of an outer layer of pyrolytic carbon,
followed by a layer of silicon carbide, followed by an inner layer of pyrolytic
carbon, then a layer of porous carbon buffer that contains the fuel kernel, which is
typically composed of UOx, UC or UCO [196]. The TRISO particle is designed to
withstand the most catastrophic accidents without releasing the fuel.
Figure 0.3 – Illustrative cutaway drawing of a TRISO fuel particle [196].
Numerous studies on the manufacturing and integrity of TRISO particles have been
carried out; however, research in the processing of spent particles is deficient.
7. Conclusions and Future Work 130
Previous studies of processing of TRISO particles were based on crushing the
graphite fuel blocks and manually separating the fuel particles from the graphite.
The outer carbon layer was then burned, followed by crushing of the silicon
carbide layer. The inner carbon layers were then oxidised as well. The remaining
ashes were then removed via leaching with nitric acid. The fuel was then removed
from the solution via conventional solvent extraction techniques [197-199]. This
technology involves many processing steps, and hence, it is costly. Some
laboratory scale pyroprocessing methods have been developed employing
electrorefining techniques [199]. The fluidised cathode process could prove very
efficient in the pyroprocessing of spent TRISO particles, where the different layers
could be stripped away at different potentials, ending with the fuel kernel particles,
which could then be reduced to their pure metal form and extracted to be reused for
metal fuelled Generation VI reactors.
7.2.6 Electrochemical reduction of UO3, PuO2 and mixed oxide fuels
Further studies on the reduction of spent nuclear materials can be carried out
integrating the fluidised cathode in the reprocessing scheme. Studying the
electrochemical reduction of UO3 and PuO2 is of particular interest, especially if an
integrated reprocessing scheme is to be adopted (pyroprocessing with solvent
extraction). With the help of predominance diagrams, the reaction pathways can be
determined, and the process optimised. Employing the fluidised cathode for
selective or full reduction of mixed actinides would be very interesting. Studying
the separation process to follow would also be interesting; whether by mixing and
settling in the reactor to see if different metals with different densities precipitate in
separate layers, or are split after if a contentious process is employed. This could
prove sufficient in the reprocessing cycle, eliminating steps such as centrifusion
with associated cost reductions.
7.2.7 Electrochemical reduction of ThO2
The use of thorium as a nuclear power fuel in new reactors has been suggested and
studied for some time [200, 201]. Thorium is a promising alternative to
conventional fuel types, as it contains a large amount of energy, is proliferation
7. Conclusions and Future Work 131
resistant, and is more equally distributed worldwide. Bench scale experiments have
been carried out for the recovery of thorium fuel using solvent extraction
technology [202, 203]. One of the suggested Generation IV reactor designs is the
thorium molten salt reactor [204-206]. Thus, a natural choice for the recovery of
fuel from such a reactor would be by pyroprocessing. Here, the use of a fluidised
cathode might prove useful, and hence, investigating the technique would be
beneficial.
7.2.8 Electrochemical reduction of TiO2
Employing the fluidised cathode process for the reduction of refractory metal
oxides could prove beneficial, given its high Faradaic efficiency for the reduction
of WO3 and UO2. One such refractory metal to apply the process to is titanium. The
current efficiency for producing it via the FFC Cambridge process is quite low (10-
40% [51]). Hence, it would be very interesting to produce titanium using the
fluidised cathode process and comparing the efficiencies. Most of the studies on
the electrochemical reduction of TiO2 have been in CaCl2. It would be also worth
investigating the reduction in other molten salts such as LiCl-KCl eutectic, which
benefits from a lower operating temperature.
Preliminary studies on the electrochemical reduction of TiO2 to Ti metal in LiCl-
KCl have been carried out. A predominance diagram, Chapter 4, was constructed
for the Li-K-Ti-O-Cl system, Figure 0.4, relating the potential E vs. standard
chlorine electrode (S.Cl.E) to the negative logarithm of O2-
ions activity, pO2-
. The
derived interface equations are presented in Appendix D. A predominance diagram
for titanium species in CaCl2 has been published [131]; however, this is the first in
LiCl-KCl eutectic. Cyclic voltammetry measurements on thermally grown thin
TiO2 films were conducted as well, Figure 0.5. These show clear reduction and
reoxidation peaks (1, 2, 2’ and 1’, 3 and 3’ represent the reductive limit of the salt),
thus suggesting that the direct electrochemical reduction of titanium oxide in LiCl-
KCl is feasible. Further studies should be carried out to conclude the reduction
pathway, and finally, to utilise the fluidised cathode process and asses its
efficiency.
7. Conclusions and Future Work 132
Figure 0.4 - Predominance diagram for the Li-K-Ti-O-Cl system at 500 °C.
Figure 0.5 - Cyclic voltammogram of TiO2 thin film cathode in LiCl-KCl eutectic at
450 °C, scan rate: 50 mV s-1
, reference electrode: Ag/Ag+.
Dissemination 133
Dissemination
Peer-reviewd publications
Abdulaziz, R., Brown, L. D., Inman, D., Simons, S. J., Shearing, P. R., Brett, D. J.
L. (2014). Effects of Process Conditions on the Fluidised Cathode Electrochemical
Reduction of Tungsten Oxide in Molten LiCl-KCl Eutectic. ECS Transactions,
64(4), 323-331.
Abdulaziz, R., Brown, L. D., Inman, D., Simons, S., Shearing, P. R., Brett, D. J. L.
(2014). A fluidised cathode process for the electrochemical reduction of tungsten
oxide in a molten LiCl-KCl eutectic. ECS Transactions, 58 (19), 65-74.
Abdulaziz, R., Brown, L. D., Inman, D., Simons, S., Shearing, P. R., Brett, D. J. L.
(2014). Novel fluidised cathode approach for the electrochemical reduction of
tungsten oxide in molten LiCl-KCl eutectic. Electrochemistry Communications,
41(0), 44-46.
Brown, L. D., Abdulaziz, R., Jervis, R., Bharath, V., Attwood, R., Reinhard, C.,
Connor, L.D., Simons, S.J.R., Inman, D., Brett, D.J.L. Shearing, P. R. (2015).
Following the electroreduction of uranium dioxide to uranium in LiCl-KCl eutectic
in situ using synchrotron radiation. Journal of Nuclear Materials. 464, 256-262.
Brown, L. D., Abdulaziz, R., Simons, S., Inman, D., Brett, D. J. L., Shearing, P. R.
(2013). Predominance diagrams of uranium and plutonum species in both lithium
chloride_potassium chloride eutectic and calcium chloride. Journal of Applied
Electrochemistry, 43(12), 1235-1241.
Dissemination 134
Conference presentations (oral)
Abdulaziz, R., Brown, L. D., Inman, D., Simons, S., Shearing, P. R., Brett, D. J. L.
(2015). Effects of Process Conditions on the Fluidised Cathode Electrochemical
Reduction of Tungsten Oxide in Molten LiCl-KCl Eutectic. Molten Salts
Discussion Group Summer Meeting, Cambridge.
Abdulaziz, R., Brown, L. D., Inman, D., Simons, S., Shearing, P. R., Brett, D. J. L.
(2014). Effects of Process Conditions on the Fluidised Cathode Electrochemical
Reduction of Tungsten Oxide in Molten LiCl-KCl Eutectic. ECS 226th Meeting,
Cancun.
Abdulaziz, R., Brown, L. D., Inman, D., Simons, S., Shearing, P. R., Brett, D. J. L.
(2013). A fluidised Cathode Process for the Direct Electrochemical Reduction of
Tungsten Oxide in Molten LiCl-KCl Eutectic. Molten Salts Discussion Group
Christmas Meeting, London.
Abdulaziz, R., Brown, L. D., Inman, D., Simons, S., Shearing, P. R., Brett, D. J. L.
(2013). Electrochemical Reduction of Tungsten Oxide in Molten LiCl-KCl Using a
Novel Fluidised Bed Electrode Approach. ECS 224th Meeting, San Francisco.
Conference presentations (poster)
Abdulaziz, R., Brown, L. D., Inman, D., Simons, S., Shearing, P. R., Brett, D. J. L.
(2014). Coulometric Analysis and the Effects of Fluidisation Rate on a Fluidised
Cathode for the electrochemical Reduction of Tungsten Oxide in a Molten LiCl-
KCl Eutectic. ChemEngDayUK 2014, Manchester.
Abdulaziz, R., Brown, L. D., Inman, D., Simons, S., Shearing, P. R., Brett, D. J. L.
(2013). Predominance Diagrams for U and Pu in LiCl-KCl. Electrochem 2013,
Southhampton.
Dissemination 135
Abdulaziz, R., Brown, L. D., Inman, D., Simons, S., Shearing, P. R., Brett, D. J. L.
(2013). Predominance Diagrams for U and Pu in LiCl-KCl. Molten Salts
Discussion Group Summer Meeting, Cambridge.
Appendices 136
Appendices
Appendix A – calculations for immersion heater
To calculate the heat input needed to increase the temperature of the thermostatic
salt bath Equations A.1 and A.2 are used.
𝑄 = 𝑚𝑐∆𝑇 +𝑚𝐿 A.1
𝑄 = 𝑚𝑐∆𝑇 A.2
Where, Q is heat input in J;
m is mass of thermostatic salt used = 3000 g;
c is specific heat capacity of the salt = 1.592 J g-1
˚C-1
;
ΔT is change in temperature of the salt = Tf – Ts = desired
temperature in ˚C - 20˚C (temperature of the salt at the start);
L is latent heat of the salt = 97 J g-1
.
Equation A.1 is used when the required final temperature of the molten salt mixture
is higher than 220 °C, and Equation A.2 is used when the desired temperature is
lower than 220 °C. Thus, Q is the heat output needed to be transferred from the
nichrome wire of the immersion heater to the salt eutectic. The nichrome wire is 4
m long and 0.46 mm in diameter. Hence, its resistance is 26.63 Ω. To allow
sufficient time for the wire and the salt bath to heat up, 1.5 hrs heating time is
assigned. Hence:
Appendices 137
𝑃 =𝑄
60×90𝑠𝑒𝑐𝑜𝑛𝑑𝑠 A.3
Where, P is power in J s-1
.
Equation A.4, rearranged as A.5, is then used to calculate the voltage needed.
𝑃 = 𝐼2𝑅 = (𝑉
𝑅)2𝑅 A.4
𝑉 = 𝑅√𝑃
𝑅 A.5
Where, I is current in A;
R is resistance in Ω.
Table 0.1, shows the calculated heat, power and voltage for a given final
temperature of the thermostatic salt bath. Heat loss to the environment is not
accounted for; however these values give a good indication for the range of voltage
needed to be supplied through the variac.
Table 0.1 - Voltage, power and heat needed to reach specified temperatures of the
thermostatic salt bath.
T (˚C) Q (J) P (J s-1) V (V)
600 3061000 567 123
500 2583000 478 113
400 2106000 390 102
300 1628000 302 90
200 860000 159 65
100 382000 71 44
Appendices 138
Appendix B – Electrode potential and pO2-
equations for predominance diagrams
of spent nuclear materials
Uranium (U) species
𝑈𝑂 + 2𝑒− ↔ 𝑈 + 𝑂2− 𝐸 =−∆𝐺𝑜
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑈𝑂2 + 2𝑒− ↔ 𝑈𝑂 + 𝑂2− 𝐸 =
−∆𝐺𝑜
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑈4𝑂9 + 2𝑒− ↔ 4𝑈𝑂2 + 𝑂
2− 𝐸 =−∆𝐺𝑜
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
4𝑈3𝑂8 + 10𝑒− ↔ 3𝑈4𝑂9 + 5𝑂
2− 𝐸 =−∆𝐺𝑜
10𝐹+5𝑅𝑇𝑙𝑛10
10𝐹𝑝𝑂2−
3𝑈𝑂3 + 2𝑒− ↔ 𝑈3𝑂8 + 𝑂
2− 𝐸 =−∆𝐺𝑜
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑈2𝐶𝑙5𝑂2 + 𝑒− ↔ 2𝑈𝐶𝑙2𝑂 + 𝐶𝑙
− 𝐸 =−∆𝐺𝑜
𝐹
2𝑈𝑂3 + 5𝐶𝑙− + 3𝑒− ↔ 𝑈2𝐶𝑙5𝑂2 + 4𝑂
2− 𝐸 =−∆𝐺𝑜
3𝐹+4𝑅𝑇𝑙𝑛10
3𝐹𝑝𝑂2−
2𝑈3𝑂8 + 15𝐶𝑙− + 5𝑒− ↔ 3𝑈2𝐶𝑙5𝑂2 + 10𝑂
2− 𝐸 =−∆𝐺𝑜
5𝐹+10𝑅𝑇𝑙𝑛10
5𝐹𝑝𝑂2−
𝑈𝑂2 + 2𝐶𝑙− ↔ 𝑈𝐶𝑙2𝑂 + 𝑂
2− 𝑝𝑂2− =∆𝐺𝑜
𝑅𝑇𝑙𝑛10
𝑈𝑂 + 2𝐶𝑙− − 2𝑒− ↔ 𝑈𝐶𝑙2𝑂 𝐸 =∆𝐺𝑜
2𝐹
𝑈𝐶𝑙2𝑂 + 4𝑒− ↔ 𝑈 +𝑂2− + 2𝐶𝑙− 𝐸 =
−∆𝐺𝑜
4𝐹+𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2−
𝑈3+ + 3𝑒− ↔ 𝑈 𝐸 =−∆𝐺𝑜
3𝐹
𝑈4+ + 𝑒− ↔ 𝑈3+ 𝐸 =−∆𝐺𝑜
𝐹
𝑈𝑂 + 3𝐶𝑙− − 𝑒− ↔ 𝑈𝐶𝑙3 + 𝑂2− 𝐸 =
∆𝐺𝑜
𝐹−𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑈𝑂2 + 3𝐶𝑙− + 𝑒− ↔ 𝑈𝐶𝑙3 + 2𝑂
2− 𝐸 =−∆𝐺𝑜
𝐹+2𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑈𝐶𝑙2𝑂 + 𝐶𝑙− + 𝑒− ↔ 𝑈𝐶𝑙3 + 𝑂
2− 𝐸 =−∆𝐺𝑜
𝐹+𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑈𝐶𝑙2𝑂 + 2𝐶𝑙− ↔ 𝑈𝐶𝑙4 + 𝑂
2− 𝑝𝑂2− =∆𝐺𝑜
𝑅𝑇𝑙𝑛10
𝑈2𝐶𝑙5𝑂2 + 3𝐶𝑙− + 𝑒− ↔ 2𝑈𝐶𝑙4 + 2𝑂
2− 𝐸 =−∆𝐺𝑜
𝐹+2𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑈4𝑂9 + 8𝐶𝑙− + 2𝑒− ↔ 4𝑈𝐶𝑙2𝑂 + 5𝑂
2− 𝐸 =−∆𝐺𝑜
2𝐹+5𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑈4𝑂9 + 10𝐶𝑙− ↔ 2𝑈2𝐶𝑙5𝑂2 + 5𝑂
2− 𝑝𝑂2− =∆𝐺𝑜
5𝑅𝑇𝑙𝑛10
Appendices 139
𝐿𝑖2𝑈𝑂4 + 2𝑒− ↔ 𝑈𝑂2 + 𝐿𝑖2𝑂 + 𝑂
2− 𝐸 =−∆𝐺𝑜
2𝐹+2𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
4𝐿𝑖2𝑈𝑂4 + 6𝑒− ↔ 𝑈4𝑂9 + 4𝐿𝑖2𝑂 + 3𝑂
2− 𝐸 =−∆𝐺𝑜
6𝐹+7𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
3𝐿𝑖2𝑈𝑂4 + 2𝑒− ↔ 𝑈3𝑂8 + 3𝐿𝑖2𝑂 + 𝑂
2− 𝐸 =−∆𝐺𝑜
2𝐹+4𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝐿𝑖2𝑈𝑂4 ↔ 𝑈𝑂3 + 𝐿𝑖2𝑂 𝑝𝑂2− =∆𝐺𝑜
𝑅𝑇𝑙𝑛10
Plutonium (Pu) species
𝑃𝑢2𝑂3 + 6𝑒− ↔ 2𝑃𝑢 + 3𝑂2− 𝐸 =
−∆𝐺𝑜
6𝐹+3𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
2𝑃𝑢𝑂2 + 2𝑒− ↔ 𝑃𝑢2𝑂3 + 𝑂
2− 𝐸 =−∆𝐺𝑜
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑃𝑢3+ + 3𝑒− ↔ 𝑃𝑢 𝐸 =−∆𝐺𝑜
3𝐹
𝑃𝑢2𝑂3 + 2𝐶𝑙− ↔ 2𝑃𝑢𝐶𝑙𝑂 + 𝑂2− 𝑝𝑂2− =
∆𝐺𝑜
𝑅𝑇𝑙𝑛10
𝑃𝑢𝑂2 + 𝐶𝑙− + 𝑒− ↔ 𝑃𝑢𝐶𝑙𝑂 + 𝑂2− 𝐸 =
−∆𝐺𝑜
𝐹+𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑃𝑢𝐶𝑙𝑂 + 2𝐶𝑙− ↔ 𝑃𝑢𝐶𝑙3 + 𝑂2− 𝑝𝑂2− =
∆𝐺𝑜
𝑅𝑇𝑙𝑛10
𝑃𝑢𝐶𝑙𝑂 + 3𝑒− ↔ 𝑃𝑢 + 𝐶𝑙− +𝑂2− 𝐸 =−∆𝐺𝑜
3𝐹+𝑅𝑇𝑙𝑛10
3𝐹𝑝𝑂2−
𝑃𝑢𝑂2 + 3𝐶𝑙− + 𝑒− ↔ 𝑃𝑢𝐶𝑙3 + 2𝑂
2− 𝐸 =−∆𝐺𝑜
𝐹+2𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
Neptunium (Np) species
𝑁𝑝 + 2𝑂2− ↔ 𝑁𝑝𝑂2 + 4𝑒− 𝐸 =
−∆𝐺0
4𝐹+2𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2−
2𝑁𝑝𝑂2 + 𝑂2− ↔ 𝑁𝑝2𝑂5 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑁𝑝𝑂2 + 𝐿𝑖2𝑂 + 3𝑂2− ↔ 𝐿𝑖2𝑁𝑝𝑂6 + 6𝑒
− 𝐸 =−∆𝐺0
6𝐹+4𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
𝑁𝑝2𝑂5 + 2𝐿𝑖2𝑂 + 5𝑂2− ↔ 2𝐿𝑖2𝑁𝑝𝑂6 + 10𝑒
− 𝐸 =−∆𝐺0
10𝐹+7𝑅𝑇𝑙𝑛10
10𝐹𝑝𝑂2−
𝑁𝑝 ↔ 𝑁𝑝3+ + 3𝑒− 𝐸 =−∆𝐺0
3𝐹
𝑁𝑝3+ ↔ 𝑁𝑝4+ + 𝑒− 𝐸 =−∆𝐺0
𝐹
𝑁𝑝𝐶𝑙3 + 2𝑂2− ↔ 𝑁𝑝𝑂2 + 3𝐶𝑙
− + 𝑒− 𝐸 =−∆𝐺0
𝐹+2𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
Appendices 140
𝑁𝑝𝐶𝑙4 + 2𝑂2− ↔ 𝑁𝑝𝑂2 + 4𝐶𝑙
− 𝑝𝑂2− =∆𝐺0
2𝑅𝑇𝑙𝑛10
Americium (Am) species
2𝐴𝑚 + 3𝑂2− ↔ 𝐴𝑚2𝑂3 + 6𝑒− 𝐸 =
−∆𝐺0
6𝐹+3𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
𝐴𝑚2𝑂3 + 𝑂2− ↔ 2𝐴𝑚𝑂2 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝐴𝑚 ↔ 𝐴𝑚3+ + 3𝑒− 𝐸 =−∆𝐺0
3𝐹
𝐴𝑚 + 𝑂2− + 𝐶𝑙− ↔ 𝐴𝑚𝐶𝑙𝑂 + 3𝑒− 𝐸 =−∆𝐺0
3𝐹+𝑅𝑇𝑙𝑛10
3𝐹𝑝𝑂2−
2𝐴𝑚𝐶𝑙𝑂 + 𝑂2− ↔ 𝐴𝑚2𝑂3 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝐴𝑚𝐶𝑙𝑂 + 𝑂2− ↔ 𝐴𝑚𝑂2 + 𝐶𝑙− + 𝑒− 𝐸 =
−∆𝐺0
𝐹+𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝐴𝑚𝐶𝑙3 + 𝑂2− ↔ 𝐴𝑚𝐶𝑙𝑂 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
Curium (Cm) species
2𝐶𝑚 + 3𝑂2− ↔ 𝐶𝑚2𝑂3 + 6𝑒− 𝐸 =
−∆𝐺0
6𝐹+3𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
𝐶𝑚2𝑂3 +𝑂2− ↔ 2𝐶𝑚𝑂2 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝐶𝑚 ↔ 𝐶𝑚3+ + 3𝑒− 𝐸 =−∆𝐺0
3𝐹
𝐶𝑚 + 𝑂2− + 𝐶𝑙− ↔ 𝐶𝑚𝐶𝑙𝑂 + 3𝑒− 𝐸 =−∆𝐺0
3𝐹+𝑅𝑇𝑙𝑛10
3𝐹𝑝𝑂2−
2𝐶𝑚𝐶𝑙𝑂 + 𝑂2− ↔ 𝐶𝑚2𝑂3 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝐶𝑚𝐶𝑙𝑂 + 𝑂2− ↔ 𝐶𝑚𝑂2 + 𝐶𝑙− + 𝑒− 𝐸 =
−∆𝐺0
𝐹+𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝐶𝑚𝐶𝑙3 +𝑂2− ↔ 𝐶𝑚𝐶𝑙𝑂 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
Caesium (Cs) species
2𝐶𝑠 + 𝑂2− ↔ 𝐶𝑠2𝑂 + 2𝑒− 𝐸 =
−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝐶𝑠2𝑂 + 𝑂2− ↔ 𝐶𝑠2𝑂2 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
Appendices 141
𝐶𝑠2𝑂2 + 𝑂2− ↔ 𝐶𝑠2𝑂3 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝐶𝑠2𝑂3 + 𝑂2− ↔ 𝐶𝑠𝑂2 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
Neodymium (Nd) species
2𝑁𝑑 + 3𝑂2− ↔ 𝑁𝑑2𝑂3 + 6𝑒− 𝐸 =
−∆𝐺0
6𝐹+3𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
𝑁𝑑2𝑂3 + 𝑂2− ↔ 2𝑁𝑑𝑂2 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑁𝑑 + 𝑂2− + 𝐶𝑙− ↔ 𝑁𝑑𝐶𝑙𝑂 + 3𝑒− 𝐸 =−∆𝐺0
3𝐹+𝑅𝑇𝑙𝑛10
3𝐹𝑝𝑂2−
2𝑁𝑑𝐶𝑙𝑂 + 𝑂2− ↔𝑁𝑑2𝑂3 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝑁𝑑𝐶𝑙3 +𝑂2− ↔ 𝑁𝑑𝐶𝑙𝑂 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝑁𝑑 ↔ 𝑁𝑑3+ + 3𝑒− 𝐸 =−∆𝐺0
3𝐹
Samarium (Sm) species
2𝑆𝑚 + 3𝑂2− ↔ 𝑆𝑚2𝑂3 + 6𝑒− 𝐸 =
−∆𝐺0
6𝐹+3𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
𝑆𝑚 + 𝑂2− + 𝐶𝑙− ↔ 𝑆𝑚𝐶𝑙𝑂 + 3𝑒− 𝐸 =−∆𝐺0
3𝐹+𝑅𝑇𝑙𝑛10
3𝐹𝑝𝑂2−
2𝑆𝑚𝐶𝑙𝑂 + 𝑂2− ↔ 𝑆𝑚2𝑂3 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝑆𝑚𝐶𝑙3 + 𝑂2− ↔ 𝑆𝑚𝐶𝑙𝑂 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝑆𝑚 ↔ 𝑆𝑚3+ + 3𝑒− 𝐸 =−∆𝐺0
3𝐹
Europium (Eu) species
𝐸𝑢 + 𝑂2− ↔ 𝐸𝑢𝑂 + 2𝑒− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
2𝐸𝑢𝑂 + 𝑂2− ↔ 𝐸𝑢2𝑂3 + 2𝑒− 𝐸 =
−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝐸𝑢 ↔ 𝐸𝑢3+ + 3𝑒− 𝐸 =−∆𝐺0
3𝐹
𝐸𝑢𝑂 + 𝐶𝑙− ↔ 𝐸𝑢𝐶𝑙𝑂 + 𝑒− 𝐸 =−∆𝐺0
𝐹
Appendices 142
𝐸𝑢𝐶𝑙3 +𝑂2− ↔ 𝐸𝑢𝐶𝑙𝑂 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
2𝐸𝑢𝐶𝑙𝑂 + 𝑂2− ↔ 𝐸𝑢2𝑂3 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝐸𝑢𝐶𝑙3 +𝑂2− ↔ 𝐸𝑢𝑂 + 3𝐶𝑙− − 𝑒− 𝐸 =
∆𝐺0
𝐹−𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
Gadolinium (Gd) species
2𝐺𝑑 + 3𝑂2− ↔ 𝐺𝑑2𝑂3 + 6𝑒− 𝐸 =
−∆𝐺0
6𝐹+3𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
𝐺𝑑 + 𝑂2− + 𝐶𝑙− ↔ 𝐺𝑑𝐶𝑙𝑂 + 3𝑒− 𝐸 =−∆𝐺0
3𝐹+𝑅𝑇𝑙𝑛10
3𝐹𝑝𝑂2−
2𝐺𝑑𝐶𝑙𝑂 + 𝑂2− ↔ 𝐺𝑑2𝑂3 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝐺𝑑𝐶𝑙3 + 𝑂2− ↔ 𝐺𝑑𝐶𝑙𝑂 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝐺𝑑 ↔ 𝐺𝑑3+ + 3𝑒− 𝐸 =−∆𝐺0
3𝐹
Molybdenum (Mo) species
𝑀𝑜 + 2𝑂2− ↔ 𝑀𝑜𝑂2 + 4𝑒− 𝐸 =
−∆𝐺0
4𝐹+2𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2−
𝑀𝑜𝑂2 +𝑂2− ↔ 𝑀𝑂3 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑀𝑜𝑂2 + 𝐿𝑖2𝑂 + 𝑂2− ↔ 𝐿𝑖2𝑀𝑜𝑂4 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+2𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑀𝑜𝑂3 + 𝐿𝑖2𝑂 ↔ 𝐿𝑖2𝑀𝑜𝑂4 𝑝𝑂2− =∆𝐺0
𝑅𝑇𝑙𝑛10
𝑀𝑜 + 𝐿𝑖2𝑂 + 3𝑂2− ↔ 𝐿𝑖2𝑀𝑜𝑂4 + 6𝑒
− 𝐸 =−∆𝐺0
6𝐹+4𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
𝑀𝑜𝐶𝑙2𝑂 + 𝑂2− ↔ 𝑀𝑜𝑂2 + 2𝐶𝑙
− 𝑝𝑂2− =∆𝐺0
𝑅𝑇𝑙𝑛10
𝑀𝑜 ↔ 𝑀𝑜2+ + 2𝑒− 𝐸 =−∆𝐺0
2𝐹
𝑀𝑜2+ ↔ 𝑀𝑜5+ + 3𝑒− 𝐸 =−∆𝐺0
3𝐹
𝑀𝑜𝐶𝑙2 + 2𝑂2− ↔ 𝑀𝑜𝑂2 + 2𝐶𝑙
− + 2𝑒− 𝐸 =−∆𝐺0
2𝐹+2𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑀𝑜𝐶𝑙5 + 2𝑂2− ↔ 𝑀𝑜𝑂2 + 5𝐶𝑙
− − 𝑒− 𝐸 =∆𝐺0
𝐹−2𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑀𝑜𝐶𝑙2 + 𝑂2− ↔ 𝑀𝑜𝐶𝑙2𝑂 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
Appendices 143
𝑀𝑜𝐶𝑙5 + 𝑂2− ↔ 𝑀𝑜𝐶𝑙2𝑂 + 3𝐶𝑙
− − 𝑒− 𝐸 =∆𝐺0
𝐹−𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑀𝑜𝐶𝑙5 + 3𝑂2− ↔ 𝑀𝑜𝑂3 + 5𝐶𝑙
− + 𝑒− 𝐸 =−∆𝐺0
𝐹+3𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
Technetium (Tc) species
𝑇𝑐 + 2𝑂2− ↔ 𝑇𝑐𝑂2 + 4𝑒− 𝐸 =
−∆𝐺0
4𝐹+2𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2−
𝑇𝑐𝑂2 + 𝑂2− ↔ 𝑇𝑐𝑂3 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
2𝑇𝑐𝑂3 + 𝑂2− ↔ 𝑇𝑐2𝑂7 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑇𝑐 ↔ 𝑇𝑐3+ + 3𝑒− 𝐸 =−∆𝐺0
3𝐹
𝑇𝑐𝐶𝑙3 + 2𝑂2− ↔ 𝑇𝑐𝑂2 + 3𝐶𝑙
− + 𝑒− 𝐸 =−∆𝐺0
𝐹+2𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
Ruthenium (Ru) species
𝑅𝑢 + 2𝑂2− ↔ 𝑅𝑢𝑂2 + 4𝑒− 𝐸 =
−∆𝐺0
4𝐹+2𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2−
𝑅𝑢𝑂2 + 2𝑂2− ↔ 𝑅𝑢𝑂4 + 4𝑒
− 𝐸 =−∆𝐺0
4𝐹+2𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2−
𝑅𝑢 ↔ 𝑅𝑢3+ + 3𝑒− 𝐸 =−∆𝐺0
3𝐹
𝑅𝑢𝐶𝑙3 + 2𝑂2− ↔ 𝑅𝑢𝑂2 + 3𝐶𝑙
− + 𝑒− 𝐸 =−∆𝐺0
𝐹+2𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
Rhodium (Rh) species
2𝑅ℎ + 𝑂2− ↔ 𝑅ℎ2𝑂 + 2𝑒− 𝐸 =
−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑅ℎ2𝑂 + 𝑂2− ↔ 2𝑅ℎ𝑂 + 2𝑒− 𝐸 =
−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑅ℎ ↔ 𝑅ℎ+ + 𝑒− 𝐸 =−∆𝐺0
𝐹
𝑅ℎ+ ↔ 𝑅ℎ2+ + 𝑒− 𝐸 =−∆𝐺0
𝐹
𝑅ℎ2+ ↔ 𝑅ℎ3+ + 𝑒− 𝐸 =−∆𝐺0
𝐹
2𝑅ℎ𝐶𝑙 + 𝑂2− ↔ 𝑅ℎ2𝑂 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
Appendices 144
2𝑅ℎ𝐶𝑙3 + 𝑂2− ↔ 𝑅ℎ2𝑂 + 6𝐶𝑙
− − 4𝑒− 𝐸 =∆𝐺0
4𝐹−𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2−
𝑅ℎ𝐶𝑙3 + 𝑂2− ↔ 𝑅ℎ𝑂 + 3𝐶𝑙− − 𝑒− 𝐸 =
∆𝐺0
𝐹−𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
Cadmium (Cd) species
𝐶𝑑 + 𝑂2− ↔ 𝐶𝑑𝑂 + 2𝑒− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝐶𝑑 ↔ 𝐶𝑑2+ + 2𝑒− 𝐸 =−∆𝐺0
2𝐹
𝐶𝑑𝐶𝑙2 + 𝑂2− ↔ 𝐶𝑑𝑂 + 2𝐶𝑙− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
Appendices 145
Appendix C - Electrode potential and pO2-
equations for the Li-K-W-O-Cl system’s
predominance diagram
𝑊𝑂2 + 4𝑒− ↔𝑊 + 2𝑂2− 𝐸 =
−∆𝐺0
4𝐹+2𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2−
𝑊𝑂3 + 2𝑒− ↔𝑊𝑂2 + 𝑂
2− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑊2+ + 2𝑒− ↔𝑊 𝐸 =−∆𝐺0
2𝐹
𝑊4+ + 2𝑒− ↔𝑊2+ 𝐸 =−∆𝐺0
2𝐹
𝑊𝑂3 + 2𝐶𝑙− ↔𝑊𝑂2𝐶𝑙2 +𝑂
2− 𝑝𝑂2− =∆𝐺0
𝑅𝑇𝑙𝑛10
𝑊𝑂2 + 2𝐶𝑙− − 2𝑒− ↔𝑊𝑂2𝐶𝑙2 𝐸 =
∆𝐺0
2𝐹
𝑊𝑂2𝐶𝑙2 + 6𝑒− ↔𝑊 + 2𝑂2− + 2𝐶𝑙− 𝐸 =
−∆𝐺0
6𝐹+2𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
𝑊𝑂2𝐶𝑙2 + 2𝐶𝑙− + 2𝑒− ↔𝑊𝐶𝑙4 + 2𝑂
2− 𝐸 =−∆𝐺0
2𝐹+2𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑊𝑂2𝐶𝑙2 + 4𝑒− ↔𝑊𝐶𝑙2 + 2𝑂
2− 𝐸 =−∆𝐺0
4𝐹+2𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2−
𝑊𝑂2 + 2𝐶𝑙− + 2𝑒− ↔𝑊𝐶𝑙2 + 2𝑂
2− 𝐸 =−∆𝐺0
2𝐹+2𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
References 146
Appendix D - Electrode potential and pO2-
equations for the Li-K-Ti-O-Cl system’s
predominance diagram
3𝑇𝑖 + 2𝑂2− ↔ 𝑇𝑖3𝑂2 + 4𝑒− 𝐸 =
−∆𝐺0
4𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑇𝑖3𝑂2 + 𝑂2− ↔ 3𝑇𝑖𝑂 + 2𝑒− 𝐸 =
−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
2𝑇𝑖𝑂 + 𝑂2− ↔ 𝑇𝑖2𝑂3 + 2𝑒− 𝐸 =
−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
3𝑇𝑖2𝑂3 + 𝑂2− ↔ 2𝑇𝑖3𝑂5 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑇𝑖3𝑂5 + 𝑂2− ↔ 3𝑇𝑖𝑂2 + 2𝑒
− 𝐸 =−∆𝐺0
2𝐹+𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝐿𝑖2𝑇𝑖𝑂3 ↔ 𝑇𝑖𝑂2 + 𝐿𝑖2𝑂 𝑝𝑂2− =∆𝐺0
𝑅𝑇𝑙𝑛10
3𝐿𝑖2𝑇𝑖𝑂3 + 2𝑒− ↔ 𝑇𝑖3𝑂5 + 3𝐿𝑖2𝑂 + 𝑂
2− 𝐸 =−∆𝐺0
2𝐹+4𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
2𝐿𝑖2𝑇𝑖𝑂3 + 2𝑒− ↔ 𝑇𝑖2𝑂3 + 2𝐿𝑖2𝑂 + 𝑂
2− 𝐸 =−∆𝐺0
2𝐹+3𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝐿𝑖2𝑇𝑖𝑂3 + 2𝑒− ↔ 𝑇𝑖𝑂 + 𝐿𝑖2𝑂 + 𝑂
2− 𝐸 =−∆𝐺0
2𝐹+2𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
3𝐿𝑖2𝑇𝑖𝑂3 + 6𝑒− ↔ 𝑇𝑖3𝑂2 + 3𝐿𝑖2𝑂 + 3𝑂
2− 𝐸 =−∆𝐺0
6𝐹+6𝑅𝑇𝑙𝑛10
6𝐹𝑝𝑂2−
𝐿𝑖2𝑇𝑖𝑂3 + 4𝑒− ↔ 𝑇𝑖 + 𝐿𝑖2𝑂 + 2𝑂
2− 𝐸 =−∆𝐺0
4𝐹+3𝑅𝑇𝑙𝑛10
4𝐹𝑝𝑂2−
𝑇𝑖𝑂2 + 𝐶𝑙− + 𝑒− ↔ 𝑇𝑖𝐶𝑙𝑂 + 𝑂2− 𝐸 =
−∆𝐺0
𝐹+𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑇𝑖3𝑂5 + 3𝐶𝑙− + 𝑒− ↔ 3𝑇𝑖𝐶𝑙𝑂 + 2𝑂2− 𝐸 =
−∆𝐺0
𝐹+2𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑇𝑖2𝑂3 + 2𝐶𝑙− ↔ 2𝑇𝑖𝐶𝑙𝑂 + 𝑂2− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝑇𝑖𝐶𝑙𝑂 + 𝑒− ↔ 𝑇𝑖𝑂 + 𝐶𝑙− 𝐸 =−∆𝐺0
𝐹
𝑇𝑖𝐶𝑙𝑂 + 3𝐶𝑙− − 𝑒− ↔ 𝑇𝑖𝐶𝑙4 +𝑂2− 𝐸 =
∆𝐺0
𝐹−𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑇𝑖𝐶𝑙𝑂 + 2𝐶𝑙− ↔ 𝑇𝑖𝐶𝑙3 +𝑂2− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
𝑇𝑖𝐶𝑙𝑂 + 𝐶𝑙− + 𝑒− ↔ 𝑇𝑖𝐶𝑙2 + 𝑂2− 𝐸 =
−∆𝐺0
𝐹+𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
𝑇𝑖𝑂 + 2𝐶𝑙− ↔ 𝑇𝑖𝐶𝑙2 + 𝑂2− 𝑝𝑂2− =
∆𝐺0
𝑅𝑇𝑙𝑛10
References 147
𝑇𝑖3𝑂2 + 6𝐶𝑙− − 2𝑒− ↔ 3𝑇𝑖𝐶𝑙2 + 2𝑂
2− 𝐸 =∆𝐺0
2𝐹−2𝑅𝑇𝑙𝑛10
2𝐹𝑝𝑂2−
𝑇𝑖4+ + 𝑒− ↔ 𝑇𝑖3+ 𝐸 =−∆𝐺0
𝐹
𝑇𝑖3+ + 𝑒− ↔ 𝑇𝑖2+ 𝐸 =−∆𝐺0
𝐹
𝑇𝑖2+ + 2𝑒− ↔ 𝑇𝑖 𝐸 =−∆𝐺0
2𝐹
𝑇𝑖𝑂2 + 4𝐶𝑙− ↔ 𝑇𝑖𝐶𝑙4 + 2𝑂
2− 𝑝𝑂2− =∆𝐺0
2𝑅𝑇𝑙𝑛10
𝑇𝑖𝑂2 + 3𝐶𝑙− + 𝑒− ↔ 𝑇𝑖𝐶𝑙3 + 2𝑂
2− 𝐸 =−∆𝐺0
𝐹+2𝑅𝑇𝑙𝑛10
𝐹𝑝𝑂2−
References 148
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